Finding the Third Proportional to 34,888,243,144 and 76,090,891,128

Step by Step Solution

1. Step 1: Write the proportion equation
   34,888,243,144 : 76,090,891,128 = 76,090,891,128 : x
2. Step 2: Convert to fraction form
   34,888,243,144/76,090,891,128 = 76,090,891,128/x
3. Step 3: Cross multiply
   34,888,243,144x = 76,090,891,128 × 76,090,891,128
4. Step 4: Simplify right side
   34,888,243,144x = 5,789,823,712,653,148,684,288
5. Step 5: Solve for x
   x = 5,789,823,712,653,148,684,288/34,888,243,144
6. Step 6: Final answer
   x = 165,953,432,758.30