Finding the Third Proportional to 34,930,174,414 and 75,980,476,561

Step by Step Solution

1. Step 1: Write the proportion equation
   34,930,174,414 : 75,980,476,561 = 75,980,476,561 : x
2. Step 2: Convert to fraction form
   34,930,174,414/75,980,476,561 = 75,980,476,561/x
3. Step 3: Cross multiply
   34,930,174,414x = 75,980,476,561 × 75,980,476,561
4. Step 4: Simplify right side
   34,930,174,414x = 5,773,032,818,436,669,964,288
5. Step 5: Solve for x
   x = 5,773,032,818,436,669,964,288/34,930,174,414
6. Step 6: Final answer
   x = 165,273,518,248.53