Finding the Third Proportional to 71,816 and 109,020

Step by Step Solution

1. Step 1: Write the proportion equation
   71,816 : 109,020 = 109,020 : x
2. Step 2: Convert to fraction form
   71,816/109,020 = 109,020/x
3. Step 3: Cross multiply
   71,816x = 109,020 × 109,020
4. Step 4: Simplify right side
   71,816x = 11,885,360,400
5. Step 5: Solve for x
   x = 11,885,360,400/71,816
6. Step 6: Final answer
   x = 165,497.39