Finding the Third Proportional to 69,216 and 105,192

Step by Step Solution

1. Step 1: Write the proportion equation
   69,216 : 105,192 = 105,192 : x
2. Step 2: Convert to fraction form
   69,216/105,192 = 105,192/x
3. Step 3: Cross multiply
   69,216x = 105,192 × 105,192
4. Step 4: Simplify right side
   69,216x = 11,065,356,864
5. Step 5: Solve for x
   x = 11,065,356,864/69,216
6. Step 6: Final answer
   x = 159,867.04