Finding the Third Proportional to 114,003.75 and 254,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,003.75 : 254,221.50 = 254,221.50 : x
2. Step 2: Convert to fraction form
   114,003.75/254,221.50 = 254,221.50/x
3. Step 3: Cross multiply
   114,003.75x = 254,221.50 × 254,221.50
4. Step 4: Simplify right side
   114,003.75x = 64,628,571,062.25
5. Step 5: Solve for x
   x = 64,628,571,062.25/114,003.75
6. Step 6: Final answer
   x = 566,898.64