Finding the Third Proportional to 174,964.50 and 262,605.38

Step by Step Solution

1. Step 1: Write the proportion equation
   174,964.50 : 262,605.38 = 262,605.38 : x
2. Step 2: Convert to fraction form
   174,964.50/262,605.38 = 262,605.38/x
3. Step 3: Cross multiply
   174,964.50x = 262,605.38 × 262,605.38
4. Step 4: Simplify right side
   174,964.50x = 68,961,582,978.89
5. Step 5: Solve for x
   x = 68,961,582,978.89/174,964.50
6. Step 6: Final answer
   x = 394,146.14