Finding the Third Proportional to 69,216 and 108,456

Step by Step Solution

1. Step 1: Write the proportion equation
   69,216 : 108,456 = 108,456 : x
2. Step 2: Convert to fraction form
   69,216/108,456 = 108,456/x
3. Step 3: Cross multiply
   69,216x = 108,456 × 108,456
4. Step 4: Simplify right side
   69,216x = 11,762,703,936
5. Step 5: Solve for x
   x = 11,762,703,936/69,216
6. Step 6: Final answer
   x = 169,941.98