Finding the Third Proportional to 174,654 and 262,998

Step by Step Solution

1. Step 1: Write the proportion equation
   174,654 : 262,998 = 262,998 : x
2. Step 2: Convert to fraction form
   174,654/262,998 = 262,998/x
3. Step 3: Cross multiply
   174,654x = 262,998 × 262,998
4. Step 4: Simplify right side
   174,654x = 69,167,948,004
5. Step 5: Solve for x
   x = 69,167,948,004/174,654
6. Step 6: Final answer
   x = 396,028.42