Finding the Third Proportional to 174,861 and 256,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,861 : 256,552.50 = 256,552.50 : x
2. Step 2: Convert to fraction form
   174,861/256,552.50 = 256,552.50/x
3. Step 3: Cross multiply
   174,861x = 256,552.50 × 256,552.50
4. Step 4: Simplify right side
   174,861x = 65,819,185,256.25
5. Step 5: Solve for x
   x = 65,819,185,256.25/174,861
6. Step 6: Final answer
   x = 376,408.61