Finding the Third Proportional to 40,166 and 85,890

Step by Step Solution

1. Step 1: Write the proportion equation
   40,166 : 85,890 = 85,890 : x
2. Step 2: Convert to fraction form
   40,166/85,890 = 85,890/x
3. Step 3: Cross multiply
   40,166x = 85,890 × 85,890
4. Step 4: Simplify right side
   40,166x = 7,377,092,100
5. Step 5: Solve for x
   x = 7,377,092,100/40,166
6. Step 6: Final answer
   x = 183,665.09