Finding the Third Proportional to 109,688 and 165,340

Step by Step Solution

1. Step 1: Write the proportion equation
   109,688 : 165,340 = 165,340 : x
2. Step 2: Convert to fraction form
   109,688/165,340 = 165,340/x
3. Step 3: Cross multiply
   109,688x = 165,340 × 165,340
4. Step 4: Simplify right side
   109,688x = 27,337,315,600
5. Step 5: Solve for x
   x = 27,337,315,600/109,688
6. Step 6: Final answer
   x = 249,227.95