Finding the Third Proportional to 55,782 and 78,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,782 : 78,023.25 = 78,023.25 : x
2. Step 2: Convert to fraction form
   55,782/78,023.25 = 78,023.25/x
3. Step 3: Cross multiply
   55,782x = 78,023.25 × 78,023.25
4. Step 4: Simplify right side
   55,782x = 6,087,627,540.56
5. Step 5: Solve for x
   x = 6,087,627,540.56/55,782
6. Step 6: Final answer
   x = 109,132.47