Finding the Third Proportional to 61,978.50 and 127,626

Step by Step Solution

1. Step 1: Write the proportion equation
   61,978.50 : 127,626 = 127,626 : x
2. Step 2: Convert to fraction form
   61,978.50/127,626 = 127,626/x
3. Step 3: Cross multiply
   61,978.50x = 127,626 × 127,626
4. Step 4: Simplify right side
   61,978.50x = 16,288,395,876
5. Step 5: Solve for x
   x = 16,288,395,876/61,978.50
6. Step 6: Final answer
   x = 262,807.20