Finding the Third Proportional to 72,825 and 109,905

Step by Step Solution

1. Step 1: Write the proportion equation
   72,825 : 109,905 = 109,905 : x
2. Step 2: Convert to fraction form
   72,825/109,905 = 109,905/x
3. Step 3: Cross multiply
   72,825x = 109,905 × 109,905
4. Step 4: Simplify right side
   72,825x = 12,079,109,025
5. Step 5: Solve for x
   x = 12,079,109,025/72,825
6. Step 6: Final answer
   x = 165,864.87