Finding the Third Proportional to 142,735 and 313,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,735 : 313,713.50 = 313,713.50 : x
2. Step 2: Convert to fraction form
   142,735/313,713.50 = 313,713.50/x
3. Step 3: Cross multiply
   142,735x = 313,713.50 × 313,713.50
4. Step 4: Simplify right side
   142,735x = 98,416,160,082.25
5. Step 5: Solve for x
   x = 98,416,160,082.25/142,735
6. Step 6: Final answer
   x = 689,502.65