Finding the Third Proportional to 174,868.50 and 256,559.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,868.50 : 256,559.25 = 256,559.25 : x
2. Step 2: Convert to fraction form
   174,868.50/256,559.25 = 256,559.25/x
3. Step 3: Cross multiply
   174,868.50x = 256,559.25 × 256,559.25
4. Step 4: Simplify right side
   174,868.50x = 65,822,648,760.56
5. Step 5: Solve for x
   x = 65,822,648,760.56/174,868.50
6. Step 6: Final answer
   x = 376,412.27