Finding the Third Proportional to 329,610,418,146 and 706,912,175,298

Step by Step Solution

1. Step 1: Write the proportion equation
   329,610,418,146 : 706,912,175,298 = 706,912,175,298 : x
2. Step 2: Convert to fraction form
   329,610,418,146/706,912,175,298 = 706,912,175,298/x
3. Step 3: Cross multiply
   329,610,418,146x = 706,912,175,298 × 706,912,175,298
4. Step 4: Simplify right side
   329,610,418,146x = 499,724,823,584,550,303,039,488
5. Step 5: Solve for x
   x = 499,724,823,584,550,303,039,488/329,610,418,146
6. Step 6: Final answer
   x = 1,516,107,489,549.07