Finding the Third Proportional to 40,164 and 86,880

Step by Step Solution

1. Step 1: Write the proportion equation
   40,164 : 86,880 = 86,880 : x
2. Step 2: Convert to fraction form
   40,164/86,880 = 86,880/x
3. Step 3: Cross multiply
   40,164x = 86,880 × 86,880
4. Step 4: Simplify right side
   40,164x = 7,548,134,400
5. Step 5: Solve for x
   x = 7,548,134,400/40,164
6. Step 6: Final answer
   x = 187,932.84