Finding the Third Proportional to 109,314 and 166,238

Step by Step Solution

1. Step 1: Write the proportion equation
   109,314 : 166,238 = 166,238 : x
2. Step 2: Convert to fraction form
   109,314/166,238 = 166,238/x
3. Step 3: Cross multiply
   109,314x = 166,238 × 166,238
4. Step 4: Simplify right side
   109,314x = 27,635,072,644
5. Step 5: Solve for x
   x = 27,635,072,644/109,314
6. Step 6: Final answer
   x = 252,804.51