Finding the Third Proportional to 59,806 and 123,506

Step by Step Solution

1. Step 1: Write the proportion equation
   59,806 : 123,506 = 123,506 : x
2. Step 2: Convert to fraction form
   59,806/123,506 = 123,506/x
3. Step 3: Cross multiply
   59,806x = 123,506 × 123,506
4. Step 4: Simplify right side
   59,806x = 15,253,732,036
5. Step 5: Solve for x
   x = 15,253,732,036/59,806
6. Step 6: Final answer
   x = 255,053.54