Finding the Third Proportional to 102,248.50 and 209,455

Step by Step Solution

1. Step 1: Write the proportion equation
   102,248.50 : 209,455 = 209,455 : x
2. Step 2: Convert to fraction form
   102,248.50/209,455 = 209,455/x
3. Step 3: Cross multiply
   102,248.50x = 209,455 × 209,455
4. Step 4: Simplify right side
   102,248.50x = 43,871,397,025
5. Step 5: Solve for x
   x = 43,871,397,025/102,248.50
6. Step 6: Final answer
   x = 429,066.41