Finding the Third Proportional to 81,788 and 109,906

Step by Step Solution

1. Step 1: Write the proportion equation
   81,788 : 109,906 = 109,906 : x
2. Step 2: Convert to fraction form
   81,788/109,906 = 109,906/x
3. Step 3: Cross multiply
   81,788x = 109,906 × 109,906
4. Step 4: Simplify right side
   81,788x = 12,079,328,836
5. Step 5: Solve for x
   x = 12,079,328,836/81,788
6. Step 6: Final answer
   x = 147,690.72