Finding the Third Proportional to 103,666.50 and 227,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666.50 : 227,047.50 = 227,047.50 : x
2. Step 2: Convert to fraction form
   103,666.50/227,047.50 = 227,047.50/x
3. Step 3: Cross multiply
   103,666.50x = 227,047.50 × 227,047.50
4. Step 4: Simplify right side
   103,666.50x = 51,550,567,256.25
5. Step 5: Solve for x
   x = 51,550,567,256.25/103,666.50
6. Step 6: Final answer
   x = 497,273.15