Finding the Third Proportional to 116,892 and 166,576

Step by Step Solution

1. Step 1: Write the proportion equation
   116,892 : 166,576 = 166,576 : x
2. Step 2: Convert to fraction form
   116,892/166,576 = 166,576/x
3. Step 3: Cross multiply
   116,892x = 166,576 × 166,576
4. Step 4: Simplify right side
   116,892x = 27,747,563,776
5. Step 5: Solve for x
   x = 27,747,563,776/116,892
6. Step 6: Final answer
   x = 237,377.78