Finding the Third Proportional to 80,090 and 166,496

Step by Step Solution

1. Step 1: Write the proportion equation
   80,090 : 166,496 = 166,496 : x
2. Step 2: Convert to fraction form
   80,090/166,496 = 166,496/x
3. Step 3: Cross multiply
   80,090x = 166,496 × 166,496
4. Step 4: Simplify right side
   80,090x = 27,720,918,016
5. Step 5: Solve for x
   x = 27,720,918,016/80,090
6. Step 6: Final answer
   x = 346,122.09