Finding the Third Proportional to 142,509 and 225,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,509 : 225,646.50 = 225,646.50 : x
2. Step 2: Convert to fraction form
   142,509/225,646.50 = 225,646.50/x
3. Step 3: Cross multiply
   142,509x = 225,646.50 × 225,646.50
4. Step 4: Simplify right side
   142,509x = 50,916,342,962.25
5. Step 5: Solve for x
   x = 50,916,342,962.25/142,509
6. Step 6: Final answer
   x = 357,285.10