Finding the Third Proportional to 102,656 and 219,499

Step by Step Solution

1. Step 1: Write the proportion equation
   102,656 : 219,499 = 219,499 : x
2. Step 2: Convert to fraction form
   102,656/219,499 = 219,499/x
3. Step 3: Cross multiply
   102,656x = 219,499 × 219,499
4. Step 4: Simplify right side
   102,656x = 48,179,811,001
5. Step 5: Solve for x
   x = 48,179,811,001/102,656
6. Step 6: Final answer
   x = 469,332.64