Finding the Third Proportional to 147,195,462,267 and 320,181,092,685

Step by Step Solution

1. Step 1: Write the proportion equation
   147,195,462,267 : 320,181,092,685 = 320,181,092,685 : x
2. Step 2: Convert to fraction form
   147,195,462,267/320,181,092,685 = 320,181,092,685/x
3. Step 3: Cross multiply
   147,195,462,267x = 320,181,092,685 × 320,181,092,685
4. Step 4: Simplify right side
   147,195,462,267x = 102,515,932,112,960,566,067,200
5. Step 5: Solve for x
   x = 102,515,932,112,960,566,067,200/147,195,462,267
6. Step 6: Final answer
   x = 696,461,226,005.77