Finding the Third Proportional to 103,656 and 217,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,656 : 217,756.50 = 217,756.50 : x
2. Step 2: Convert to fraction form
   103,656/217,756.50 = 217,756.50/x
3. Step 3: Cross multiply
   103,656x = 217,756.50 × 217,756.50
4. Step 4: Simplify right side
   103,656x = 47,417,893,292.25
5. Step 5: Solve for x
   x = 47,417,893,292.25/103,656
6. Step 6: Final answer
   x = 457,454.40