Finding the Third Proportional to 103,333.50 and 216,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,333.50 : 216,013.50 = 216,013.50 : x
2. Step 2: Convert to fraction form
   103,333.50/216,013.50 = 216,013.50/x
3. Step 3: Cross multiply
   103,333.50x = 216,013.50 × 216,013.50
4. Step 4: Simplify right side
   103,333.50x = 46,661,832,182.25
5. Step 5: Solve for x
   x = 46,661,832,182.25/103,333.50
6. Step 6: Final answer
   x = 451,565.39