Finding the Third Proportional to 51,821.25 and 114,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,821.25 : 114,532.50 = 114,532.50 : x
2. Step 2: Convert to fraction form
   51,821.25/114,532.50 = 114,532.50/x
3. Step 3: Cross multiply
   51,821.25x = 114,532.50 × 114,532.50
4. Step 4: Simplify right side
   51,821.25x = 13,117,693,556.25
5. Step 5: Solve for x
   x = 13,117,693,556.25/51,821.25
6. Step 6: Final answer
   x = 253,133.48