Finding the Third Proportional to 103,656.50 and 217,757

Step by Step Solution

1. Step 1: Write the proportion equation
   103,656.50 : 217,757 = 217,757 : x
2. Step 2: Convert to fraction form
   103,656.50/217,757 = 217,757/x
3. Step 3: Cross multiply
   103,656.50x = 217,757 × 217,757
4. Step 4: Simplify right side
   103,656.50x = 47,418,111,049
5. Step 5: Solve for x
   x = 47,418,111,049/103,656.50
6. Step 6: Final answer
   x = 457,454.29