Finding the Third Proportional to 51,801.75 and 114,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,801.75 : 114,493.50 = 114,493.50 : x
2. Step 2: Convert to fraction form
   51,801.75/114,493.50 = 114,493.50/x
3. Step 3: Cross multiply
   51,801.75x = 114,493.50 × 114,493.50
4. Step 4: Simplify right side
   51,801.75x = 13,108,761,542.25
5. Step 5: Solve for x
   x = 13,108,761,542.25/51,801.75
6. Step 6: Final answer
   x = 253,056.35