Finding the Third Proportional to 114,097.25 and 254,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,097.25 : 254,429.50 = 254,429.50 : x
2. Step 2: Convert to fraction form
   114,097.25/254,429.50 = 254,429.50/x
3. Step 3: Cross multiply
   114,097.25x = 254,429.50 × 254,429.50
4. Step 4: Simplify right side
   114,097.25x = 64,734,370,470.25
5. Step 5: Solve for x
   x = 64,734,370,470.25/114,097.25
6. Step 6: Final answer
   x = 567,361.36