Finding the Third Proportional to 80,928 and 165,066

Step by Step Solution

1. Step 1: Write the proportion equation
   80,928 : 165,066 = 165,066 : x
2. Step 2: Convert to fraction form
   80,928/165,066 = 165,066/x
3. Step 3: Cross multiply
   80,928x = 165,066 × 165,066
4. Step 4: Simplify right side
   80,928x = 27,246,784,356
5. Step 5: Solve for x
   x = 27,246,784,356/80,928
6. Step 6: Final answer
   x = 336,679.32