Finding the Third Proportional to 69,920 and 105,564

Step by Step Solution

1. Step 1: Write the proportion equation
   69,920 : 105,564 = 105,564 : x
2. Step 2: Convert to fraction form
   69,920/105,564 = 105,564/x
3. Step 3: Cross multiply
   69,920x = 105,564 × 105,564
4. Step 4: Simplify right side
   69,920x = 11,143,758,096
5. Step 5: Solve for x
   x = 11,143,758,096/69,920
6. Step 6: Final answer
   x = 159,378.69