Finding the Third Proportional to 142,184.25 and 329,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,184.25 : 329,162.25 = 329,162.25 : x
2. Step 2: Convert to fraction form
   142,184.25/329,162.25 = 329,162.25/x
3. Step 3: Cross multiply
   142,184.25x = 329,162.25 × 329,162.25
4. Step 4: Simplify right side
   142,184.25x = 108,347,786,825.06
5. Step 5: Solve for x
   x = 108,347,786,825.06/142,184.25
6. Step 6: Final answer
   x = 762,023.83