Finding the Third Proportional to 41,166 and 83,789

Step by Step Solution

1. Step 1: Write the proportion equation
   41,166 : 83,789 = 83,789 : x
2. Step 2: Convert to fraction form
   41,166/83,789 = 83,789/x
3. Step 3: Cross multiply
   41,166x = 83,789 × 83,789
4. Step 4: Simplify right side
   41,166x = 7,020,596,521
5. Step 5: Solve for x
   x = 7,020,596,521/41,166
6. Step 6: Final answer
   x = 170,543.57