Finding the Third Proportional to 175,395 and 256,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,395 : 256,540.50 = 256,540.50 : x
2. Step 2: Convert to fraction form
   175,395/256,540.50 = 256,540.50/x
3. Step 3: Cross multiply
   175,395x = 256,540.50 × 256,540.50
4. Step 4: Simplify right side
   175,395x = 65,813,028,140.25
5. Step 5: Solve for x
   x = 65,813,028,140.25/175,395
6. Step 6: Final answer
   x = 375,227.50