Finding the Third Proportional to 52,002.50 and 111,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002.50 : 111,784.75 = 111,784.75 : x
2. Step 2: Convert to fraction form
   52,002.50/111,784.75 = 111,784.75/x
3. Step 3: Cross multiply
   52,002.50x = 111,784.75 × 111,784.75
4. Step 4: Simplify right side
   52,002.50x = 12,495,830,332.56
5. Step 5: Solve for x
   x = 12,495,830,332.56/52,002.50
6. Step 6: Final answer
   x = 240,292.88