Finding the Third Proportional to 108,294 and 166,665

Step by Step Solution

1. Step 1: Write the proportion equation
   108,294 : 166,665 = 166,665 : x
2. Step 2: Convert to fraction form
   108,294/166,665 = 166,665/x
3. Step 3: Cross multiply
   108,294x = 166,665 × 166,665
4. Step 4: Simplify right side
   108,294x = 27,777,222,225
5. Step 5: Solve for x
   x = 27,777,222,225/108,294
6. Step 6: Final answer
   x = 256,498.26