Finding the Third Proportional to 55,785 and 78,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,785 : 78,025.50 = 78,025.50 : x
2. Step 2: Convert to fraction form
   55,785/78,025.50 = 78,025.50/x
3. Step 3: Cross multiply
   55,785x = 78,025.50 × 78,025.50
4. Step 4: Simplify right side
   55,785x = 6,087,978,650.25
5. Step 5: Solve for x
   x = 6,087,978,650.25/55,785
6. Step 6: Final answer
   x = 109,132.90