Finding the Third Proportional to 103,662 and 217,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,662 : 217,768.50 = 217,768.50 : x
2. Step 2: Convert to fraction form
   103,662/217,768.50 = 217,768.50/x
3. Step 3: Cross multiply
   103,662x = 217,768.50 × 217,768.50
4. Step 4: Simplify right side
   103,662x = 47,423,119,592.25
5. Step 5: Solve for x
   x = 47,423,119,592.25/103,662
6. Step 6: Final answer
   x = 457,478.34