Finding the Third Proportional to 52,182.25 and 114,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,182.25 : 114,210.50 = 114,210.50 : x
2. Step 2: Convert to fraction form
   52,182.25/114,210.50 = 114,210.50/x
3. Step 3: Cross multiply
   52,182.25x = 114,210.50 × 114,210.50
4. Step 4: Simplify right side
   52,182.25x = 13,044,038,310.25
5. Step 5: Solve for x
   x = 13,044,038,310.25/52,182.25
6. Step 6: Final answer
   x = 249,970.79