Finding the Third Proportional to 142,024.50 and 309,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,024.50 : 309,471.50 = 309,471.50 : x
2. Step 2: Convert to fraction form
   142,024.50/309,471.50 = 309,471.50/x
3. Step 3: Cross multiply
   142,024.50x = 309,471.50 × 309,471.50
4. Step 4: Simplify right side
   142,024.50x = 95,772,609,312.25
5. Step 5: Solve for x
   x = 95,772,609,312.25/142,024.50
6. Step 6: Final answer
   x = 674,338.65