Finding the Third Proportional to 106,981.75 and 165,566

Step by Step Solution

1. Step 1: Write the proportion equation
   106,981.75 : 165,566 = 165,566 : x
2. Step 2: Convert to fraction form
   106,981.75/165,566 = 165,566/x
3. Step 3: Cross multiply
   106,981.75x = 165,566 × 165,566
4. Step 4: Simplify right side
   106,981.75x = 27,412,100,356
5. Step 5: Solve for x
   x = 27,412,100,356/106,981.75
6. Step 6: Final answer
   x = 256,231.56