Finding the Third Proportional to 59,548 and 123,996.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,548 : 123,996.25 = 123,996.25 : x
2. Step 2: Convert to fraction form
   59,548/123,996.25 = 123,996.25/x
3. Step 3: Cross multiply
   59,548x = 123,996.25 × 123,996.25
4. Step 4: Simplify right side
   59,548x = 15,375,070,014.06
5. Step 5: Solve for x
   x = 15,375,070,014.06/59,548
6. Step 6: Final answer
   x = 258,196.25