Finding the Third Proportional to 33,243,793,404,180 and 71,490,663,402,384

Step by Step Solution

1. Step 1: Write the proportion equation
   33,243,793,404,180 : 71,490,663,402,384 = 71,490,663,402,384 : x
2. Step 2: Convert to fraction form
   33,243,793,404,180/71,490,663,402,384 = 71,490,663,402,384/x
3. Step 3: Cross multiply
   33,243,793,404,180x = 71,490,663,402,384 × 71,490,663,402,384
4. Step 4: Simplify right side
   33,243,793,404,180x = 5,110,914,953,712,966,724,248,141,824
5. Step 5: Solve for x
   x = 5,110,914,953,712,966,724,248,141,824/33,243,793,404,180
6. Step 6: Final answer
   x = 153,740,425,816,457.28