Finding the Third Proportional to 40,112 and 86,920

Step by Step Solution

1. Step 1: Write the proportion equation
   40,112 : 86,920 = 86,920 : x
2. Step 2: Convert to fraction form
   40,112/86,920 = 86,920/x
3. Step 3: Cross multiply
   40,112x = 86,920 × 86,920
4. Step 4: Simplify right side
   40,112x = 7,555,086,400
5. Step 5: Solve for x
   x = 7,555,086,400/40,112
6. Step 6: Final answer
   x = 188,349.78