Finding the Third Proportional to 48,132 and 105,564

Step by Step Solution

1. Step 1: Write the proportion equation
   48,132 : 105,564 = 105,564 : x
2. Step 2: Convert to fraction form
   48,132/105,564 = 105,564/x
3. Step 3: Cross multiply
   48,132x = 105,564 × 105,564
4. Step 4: Simplify right side
   48,132x = 11,143,758,096
5. Step 5: Solve for x
   x = 11,143,758,096/48,132
6. Step 6: Final answer
   x = 231,524.93