Finding the Third Proportional to 81,351 and 166,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81,351 : 166,665.38 = 166,665.38 : x
2. Step 2: Convert to fraction form
   81,351/166,665.38 = 166,665.38/x
3. Step 3: Cross multiply
   81,351x = 166,665.38 × 166,665.38
4. Step 4: Simplify right side
   81,351x = 27,777,347,223.89
5. Step 5: Solve for x
   x = 27,777,347,223.89/81,351
6. Step 6: Final answer
   x = 341,450.59