Finding the Third Proportional to 109,689 and 165,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,689 : 165,883.50 = 165,883.50 : x
2. Step 2: Convert to fraction form
   109,689/165,883.50 = 165,883.50/x
3. Step 3: Cross multiply
   109,689x = 165,883.50 × 165,883.50
4. Step 4: Simplify right side
   109,689x = 27,517,335,572.25
5. Step 5: Solve for x
   x = 27,517,335,572.25/109,689
6. Step 6: Final answer
   x = 250,866.87