Finding the Third Proportional to 109,663.50 and 165,306

Step by Step Solution

1. Step 1: Write the proportion equation
   109,663.50 : 165,306 = 165,306 : x
2. Step 2: Convert to fraction form
   109,663.50/165,306 = 165,306/x
3. Step 3: Cross multiply
   109,663.50x = 165,306 × 165,306
4. Step 4: Simplify right side
   109,663.50x = 27,326,073,636
5. Step 5: Solve for x
   x = 27,326,073,636/109,663.50
6. Step 6: Final answer
   x = 249,181.12