Finding the Third Proportional to 59,804 and 123,502

Step by Step Solution

1. Step 1: Write the proportion equation
   59,804 : 123,502 = 123,502 : x
2. Step 2: Convert to fraction form
   59,804/123,502 = 123,502/x
3. Step 3: Cross multiply
   59,804x = 123,502 × 123,502
4. Step 4: Simplify right side
   59,804x = 15,252,744,004
5. Step 5: Solve for x
   x = 15,252,744,004/59,804
6. Step 6: Final answer
   x = 255,045.55