Finding the Third Proportional to 264,602 and 397,499

Step by Step Solution

1. Step 1: Write the proportion equation
   264,602 : 397,499 = 397,499 : x
2. Step 2: Convert to fraction form
   264,602/397,499 = 397,499/x
3. Step 3: Cross multiply
   264,602x = 397,499 × 397,499
4. Step 4: Simplify right side
   264,602x = 158,005,455,001
5. Step 5: Solve for x
   x = 158,005,455,001/264,602
6. Step 6: Final answer
   x = 597,143.84