Finding the Third Proportional to 174,885 and 256,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,885 : 256,587.50 = 256,587.50 : x
2. Step 2: Convert to fraction form
   174,885/256,587.50 = 256,587.50/x
3. Step 3: Cross multiply
   174,885x = 256,587.50 × 256,587.50
4. Step 4: Simplify right side
   174,885x = 65,837,145,156.25
5. Step 5: Solve for x
   x = 65,837,145,156.25/174,885
6. Step 6: Final answer
   x = 376,459.65