Finding the Third Proportional to 103,738.50 and 227,565

Step by Step Solution

1. Step 1: Write the proportion equation
   103,738.50 : 227,565 = 227,565 : x
2. Step 2: Convert to fraction form
   103,738.50/227,565 = 227,565/x
3. Step 3: Cross multiply
   103,738.50x = 227,565 × 227,565
4. Step 4: Simplify right side
   103,738.50x = 51,785,829,225
5. Step 5: Solve for x
   x = 51,785,829,225/103,738.50
6. Step 6: Final answer
   x = 499,195.86