Finding the Third Proportional to 41,166 and 84,273.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,166 : 84,273.75 = 84,273.75 : x
2. Step 2: Convert to fraction form
   41,166/84,273.75 = 84,273.75/x
3. Step 3: Cross multiply
   41,166x = 84,273.75 × 84,273.75
4. Step 4: Simplify right side
   41,166x = 7,102,064,939.06
5. Step 5: Solve for x
   x = 7,102,064,939.06/41,166
6. Step 6: Final answer
   x = 172,522.59