Finding the Third Proportional to 123,644 and 266,998

Step by Step Solution

1. Step 1: Write the proportion equation
   123,644 : 266,998 = 266,998 : x
2. Step 2: Convert to fraction form
   123,644/266,998 = 266,998/x
3. Step 3: Cross multiply
   123,644x = 266,998 × 266,998
4. Step 4: Simplify right side
   123,644x = 71,287,932,004
5. Step 5: Solve for x
   x = 71,287,932,004/123,644
6. Step 6: Final answer
   x = 576,557.96