Finding the Third Proportional to 142,712 and 313,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,712 : 313,673.50 = 313,673.50 : x
2. Step 2: Convert to fraction form
   142,712/313,673.50 = 313,673.50/x
3. Step 3: Cross multiply
   142,712x = 313,673.50 × 313,673.50
4. Step 4: Simplify right side
   142,712x = 98,391,064,602.25
5. Step 5: Solve for x
   x = 98,391,064,602.25/142,712
6. Step 6: Final answer
   x = 689,437.92