Finding the Third Proportional to 51,648 and 109,496

Step by Step Solution

1. Step 1: Write the proportion equation
   51,648 : 109,496 = 109,496 : x
2. Step 2: Convert to fraction form
   51,648/109,496 = 109,496/x
3. Step 3: Cross multiply
   51,648x = 109,496 × 109,496
4. Step 4: Simplify right side
   51,648x = 11,989,374,016
5. Step 5: Solve for x
   x = 11,989,374,016/51,648
6. Step 6: Final answer
   x = 232,136.27