Finding the Third Proportional to 51,165 and 108,504

Step by Step Solution

1. Step 1: Write the proportion equation
   51,165 : 108,504 = 108,504 : x
2. Step 2: Convert to fraction form
   51,165/108,504 = 108,504/x
3. Step 3: Cross multiply
   51,165x = 108,504 × 108,504
4. Step 4: Simplify right side
   51,165x = 11,773,118,016
5. Step 5: Solve for x
   x = 11,773,118,016/51,165
6. Step 6: Final answer
   x = 230,101.01