Finding the Third Proportional to 59,486 and 123,902

Step by Step Solution

1. Step 1: Write the proportion equation
   59,486 : 123,902 = 123,902 : x
2. Step 2: Convert to fraction form
   59,486/123,902 = 123,902/x
3. Step 3: Cross multiply
   59,486x = 123,902 × 123,902
4. Step 4: Simplify right side
   59,486x = 15,351,705,604
5. Step 5: Solve for x
   x = 15,351,705,604/59,486
6. Step 6: Final answer
   x = 258,072.58