Finding the Third Proportional to 86,334 and 126,405

Step by Step Solution

1. Step 1: Write the proportion equation
   86,334 : 126,405 = 126,405 : x
2. Step 2: Convert to fraction form
   86,334/126,405 = 126,405/x
3. Step 3: Cross multiply
   86,334x = 126,405 × 126,405
4. Step 4: Simplify right side
   86,334x = 15,978,224,025
5. Step 5: Solve for x
   x = 15,978,224,025/86,334
6. Step 6: Final answer
   x = 185,074.52