Finding the Third Proportional to 118,215.75 and 256,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,215.75 : 256,525.50 = 256,525.50 : x
2. Step 2: Convert to fraction form
   118,215.75/256,525.50 = 256,525.50/x
3. Step 3: Cross multiply
   118,215.75x = 256,525.50 × 256,525.50
4. Step 4: Simplify right side
   118,215.75x = 65,805,332,150.25
5. Step 5: Solve for x
   x = 65,805,332,150.25/118,215.75
6. Step 6: Final answer
   x = 556,654.52