Finding the Third Proportional to 174,978 and 262,414.13

Step by Step Solution

1. Step 1: Write the proportion equation
   174,978 : 262,414.13 = 262,414.13 : x
2. Step 2: Convert to fraction form
   174,978/262,414.13 = 262,414.13/x
3. Step 3: Cross multiply
   174,978x = 262,414.13 × 262,414.13
4. Step 4: Simplify right side
   174,978x = 68,861,172,999.52
5. Step 5: Solve for x
   x = 68,861,172,999.52/174,978
6. Step 6: Final answer
   x = 393,541.89