Finding the Third Proportional to 85,872 and 126,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,872 : 126,322.50 = 126,322.50 : x
2. Step 2: Convert to fraction form
   85,872/126,322.50 = 126,322.50/x
3. Step 3: Cross multiply
   85,872x = 126,322.50 × 126,322.50
4. Step 4: Simplify right side
   85,872x = 15,957,374,006.25
5. Step 5: Solve for x
   x = 15,957,374,006.25/85,872
6. Step 6: Final answer
   x = 185,827.44