Finding the Third Proportional to 56,596 and 123,020

Step by Step Solution

1. Step 1: Write the proportion equation
   56,596 : 123,020 = 123,020 : x
2. Step 2: Convert to fraction form
   56,596/123,020 = 123,020/x
3. Step 3: Cross multiply
   56,596x = 123,020 × 123,020
4. Step 4: Simplify right side
   56,596x = 15,133,920,400
5. Step 5: Solve for x
   x = 15,133,920,400/56,596
6. Step 6: Final answer
   x = 267,402.65