Finding the Third Proportional to 69,792 and 108,216

Step by Step Solution

1. Step 1: Write the proportion equation
   69,792 : 108,216 = 108,216 : x
2. Step 2: Convert to fraction form
   69,792/108,216 = 108,216/x
3. Step 3: Cross multiply
   69,792x = 108,216 × 108,216
4. Step 4: Simplify right side
   69,792x = 11,710,702,656
5. Step 5: Solve for x
   x = 11,710,702,656/69,792
6. Step 6: Final answer
   x = 167,794.34