Finding the Third Proportional to 102,403 and 216,487.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,403 : 216,487.75 = 216,487.75 : x
2. Step 2: Convert to fraction form
   102,403/216,487.75 = 216,487.75/x
3. Step 3: Cross multiply
   102,403x = 216,487.75 × 216,487.75
4. Step 4: Simplify right side
   102,403x = 46,866,945,900.06
5. Step 5: Solve for x
   x = 46,866,945,900.06/102,403
6. Step 6: Final answer
   x = 457,671.61