Finding the Third Proportional to 81,756 and 109,869.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,756 : 109,869.75 = 109,869.75 : x
2. Step 2: Convert to fraction form
   81,756/109,869.75 = 109,869.75/x
3. Step 3: Cross multiply
   81,756x = 109,869.75 × 109,869.75
4. Step 4: Simplify right side
   81,756x = 12,071,361,965.06
5. Step 5: Solve for x
   x = 12,071,361,965.06/81,756
6. Step 6: Final answer
   x = 147,651.08