Finding the Third Proportional to 103,775 and 216,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,775 : 216,400.50 = 216,400.50 : x
2. Step 2: Convert to fraction form
   103,775/216,400.50 = 216,400.50/x
3. Step 3: Cross multiply
   103,775x = 216,400.50 × 216,400.50
4. Step 4: Simplify right side
   103,775x = 46,829,176,400.25
5. Step 5: Solve for x
   x = 46,829,176,400.25/103,775
6. Step 6: Final answer
   x = 451,256.82