Finding the Third Proportional to 103,665 and 217,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 217,774.50 = 217,774.50 : x
2. Step 2: Convert to fraction form
   103,665/217,774.50 = 217,774.50/x
3. Step 3: Cross multiply
   103,665x = 217,774.50 × 217,774.50
4. Step 4: Simplify right side
   103,665x = 47,425,732,850.25
5. Step 5: Solve for x
   x = 47,425,732,850.25/103,665
6. Step 6: Final answer
   x = 457,490.31