Finding the Third Proportional to 70,565 and 108,096

Step by Step Solution

1. Step 1: Write the proportion equation
   70,565 : 108,096 = 108,096 : x
2. Step 2: Convert to fraction form
   70,565/108,096 = 108,096/x
3. Step 3: Cross multiply
   70,565x = 108,096 × 108,096
4. Step 4: Simplify right side
   70,565x = 11,684,745,216
5. Step 5: Solve for x
   x = 11,684,745,216/70,565
6. Step 6: Final answer
   x = 165,588.40