Finding the Third Proportional to 142,499.25 and 225,632.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,499.25 : 225,632.25 = 225,632.25 : x
2. Step 2: Convert to fraction form
   142,499.25/225,632.25 = 225,632.25/x
3. Step 3: Cross multiply
   142,499.25x = 225,632.25 × 225,632.25
4. Step 4: Simplify right side
   142,499.25x = 50,909,912,240.06
5. Step 5: Solve for x
   x = 50,909,912,240.06/142,499.25
6. Step 6: Final answer
   x = 357,264.42