Finding the Third Proportional to 102,532.50 and 225,228

Step by Step Solution

1. Step 1: Write the proportion equation
   102,532.50 : 225,228 = 225,228 : x
2. Step 2: Convert to fraction form
   102,532.50/225,228 = 225,228/x
3. Step 3: Cross multiply
   102,532.50x = 225,228 × 225,228
4. Step 4: Simplify right side
   102,532.50x = 50,727,651,984
5. Step 5: Solve for x
   x = 50,727,651,984/102,532.50
6. Step 6: Final answer
   x = 494,747.05