Finding the Third Proportional to 174,883.50 and 256,584

Step by Step Solution

1. Step 1: Write the proportion equation
   174,883.50 : 256,584 = 256,584 : x
2. Step 2: Convert to fraction form
   174,883.50/256,584 = 256,584/x
3. Step 3: Cross multiply
   174,883.50x = 256,584 × 256,584
4. Step 4: Simplify right side
   174,883.50x = 65,835,349,056
5. Step 5: Solve for x
   x = 65,835,349,056/174,883.50
6. Step 6: Final answer
   x = 376,452.60