Finding the Third Proportional to 56,590 and 123,548

Step by Step Solution

1. Step 1: Write the proportion equation
   56,590 : 123,548 = 123,548 : x
2. Step 2: Convert to fraction form
   56,590/123,548 = 123,548/x
3. Step 3: Cross multiply
   56,590x = 123,548 × 123,548
4. Step 4: Simplify right side
   56,590x = 15,264,108,304
5. Step 5: Solve for x
   x = 15,264,108,304/56,590
6. Step 6: Final answer
   x = 269,731.55