Finding the Third Proportional to 142,713 and 313,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,713 : 313,675.50 = 313,675.50 : x
2. Step 2: Convert to fraction form
   142,713/313,675.50 = 313,675.50/x
3. Step 3: Cross multiply
   142,713x = 313,675.50 × 313,675.50
4. Step 4: Simplify right side
   142,713x = 98,392,319,300.25
5. Step 5: Solve for x
   x = 98,392,319,300.25/142,713
6. Step 6: Final answer
   x = 689,441.88