Finding the Third Proportional to 171,702 and 262,654

Step by Step Solution

1. Step 1: Write the proportion equation
   171,702 : 262,654 = 262,654 : x
2. Step 2: Convert to fraction form
   171,702/262,654 = 262,654/x
3. Step 3: Cross multiply
   171,702x = 262,654 × 262,654
4. Step 4: Simplify right side
   171,702x = 68,987,123,716
5. Step 5: Solve for x
   x = 68,987,123,716/171,702
6. Step 6: Final answer
   x = 401,784.04