Finding the Third Proportional to 109,696.50 and 165,897

Step by Step Solution

1. Step 1: Write the proportion equation
   109,696.50 : 165,897 = 165,897 : x
2. Step 2: Convert to fraction form
   109,696.50/165,897 = 165,897/x
3. Step 3: Cross multiply
   109,696.50x = 165,897 × 165,897
4. Step 4: Simplify right side
   109,696.50x = 27,521,814,609
5. Step 5: Solve for x
   x = 27,521,814,609/109,696.50
6. Step 6: Final answer
   x = 250,890.54