Finding the Third Proportional to 114,002.25 and 254,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,002.25 : 254,218.50 = 254,218.50 : x
2. Step 2: Convert to fraction form
   114,002.25/254,218.50 = 254,218.50/x
3. Step 3: Cross multiply
   114,002.25x = 254,218.50 × 254,218.50
4. Step 4: Simplify right side
   114,002.25x = 64,627,045,742.25
5. Step 5: Solve for x
   x = 64,627,045,742.25/114,002.25
6. Step 6: Final answer
   x = 566,892.72