Finding the Third Proportional to 142,280 and 329,395

Step by Step Solution

1. Step 1: Write the proportion equation
   142,280 : 329,395 = 329,395 : x
2. Step 2: Convert to fraction form
   142,280/329,395 = 329,395/x
3. Step 3: Cross multiply
   142,280x = 329,395 × 329,395
4. Step 4: Simplify right side
   142,280x = 108,501,066,025
5. Step 5: Solve for x
   x = 108,501,066,025/142,280
6. Step 6: Final answer
   x = 762,588.32