Finding the Third Proportional to 106,560 and 153,496

Step by Step Solution

1. Step 1: Write the proportion equation
   106,560 : 153,496 = 153,496 : x
2. Step 2: Convert to fraction form
   106,560/153,496 = 153,496/x
3. Step 3: Cross multiply
   106,560x = 153,496 × 153,496
4. Step 4: Simplify right side
   106,560x = 23,561,022,016
5. Step 5: Solve for x
   x = 23,561,022,016/106,560
6. Step 6: Final answer
   x = 221,105.69