Finding the Third Proportional to 58,644 and 123,048

Step by Step Solution

1. Step 1: Write the proportion equation
   58,644 : 123,048 = 123,048 : x
2. Step 2: Convert to fraction form
   58,644/123,048 = 123,048/x
3. Step 3: Cross multiply
   58,644x = 123,048 × 123,048
4. Step 4: Simplify right side
   58,644x = 15,140,810,304
5. Step 5: Solve for x
   x = 15,140,810,304/58,644
6. Step 6: Final answer
   x = 258,181.75