Finding the Third Proportional to 123,633 and 264,762

Step by Step Solution

1. Step 1: Write the proportion equation
   123,633 : 264,762 = 264,762 : x
2. Step 2: Convert to fraction form
   123,633/264,762 = 264,762/x
3. Step 3: Cross multiply
   123,633x = 264,762 × 264,762
4. Step 4: Simplify right side
   123,633x = 70,098,916,644
5. Step 5: Solve for x
   x = 70,098,916,644/123,633
6. Step 6: Final answer
   x = 566,991.96