Finding the Third Proportional to 103,645.50 and 219,747

Step by Step Solution

1. Step 1: Write the proportion equation
   103,645.50 : 219,747 = 219,747 : x
2. Step 2: Convert to fraction form
   103,645.50/219,747 = 219,747/x
3. Step 3: Cross multiply
   103,645.50x = 219,747 × 219,747
4. Step 4: Simplify right side
   103,645.50x = 48,288,744,009
5. Step 5: Solve for x
   x = 48,288,744,009/103,645.50
6. Step 6: Final answer
   x = 465,902.95