Finding the Third Proportional to 51,096 and 109,224

Step by Step Solution

1. Step 1: Write the proportion equation
   51,096 : 109,224 = 109,224 : x
2. Step 2: Convert to fraction form
   51,096/109,224 = 109,224/x
3. Step 3: Cross multiply
   51,096x = 109,224 × 109,224
4. Step 4: Simplify right side
   51,096x = 11,929,882,176
5. Step 5: Solve for x
   x = 11,929,882,176/51,096
6. Step 6: Final answer
   x = 233,479.77