Finding the Third Proportional to 85,874 and 126,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,874 : 126,323.50 = 126,323.50 : x
2. Step 2: Convert to fraction form
   85,874/126,323.50 = 126,323.50/x
3. Step 3: Cross multiply
   85,874x = 126,323.50 × 126,323.50
4. Step 4: Simplify right side
   85,874x = 15,957,626,652.25
5. Step 5: Solve for x
   x = 15,957,626,652.25/85,874
6. Step 6: Final answer
   x = 185,826.06