Finding the Third Proportional to 51,144 and 109,632

Step by Step Solution

1. Step 1: Write the proportion equation
   51,144 : 109,632 = 109,632 : x
2. Step 2: Convert to fraction form
   51,144/109,632 = 109,632/x
3. Step 3: Cross multiply
   51,144x = 109,632 × 109,632
4. Step 4: Simplify right side
   51,144x = 12,019,175,424
5. Step 5: Solve for x
   x = 12,019,175,424/51,144
6. Step 6: Final answer
   x = 235,006.56