Finding the Third Proportional to 49,454.25 and 78,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,454.25 : 78,626.25 = 78,626.25 : x
2. Step 2: Convert to fraction form
   49,454.25/78,626.25 = 78,626.25/x
3. Step 3: Cross multiply
   49,454.25x = 78,626.25 × 78,626.25
4. Step 4: Simplify right side
   49,454.25x = 6,182,087,189.06
5. Step 5: Solve for x
   x = 6,182,087,189.06/49,454.25
6. Step 6: Final answer
   x = 125,006.19