Finding the Third Proportional to 51,600 and 109,008

Step by Step Solution

1. Step 1: Write the proportion equation
   51,600 : 109,008 = 109,008 : x
2. Step 2: Convert to fraction form
   51,600/109,008 = 109,008/x
3. Step 3: Cross multiply
   51,600x = 109,008 × 109,008
4. Step 4: Simplify right side
   51,600x = 11,882,744,064
5. Step 5: Solve for x
   x = 11,882,744,064/51,600
6. Step 6: Final answer
   x = 230,285.74