Finding the Third Proportional to 111,791 and 166,167

Step by Step Solution

1. Step 1: Write the proportion equation
   111,791 : 166,167 = 166,167 : x
2. Step 2: Convert to fraction form
   111,791/166,167 = 166,167/x
3. Step 3: Cross multiply
   111,791x = 166,167 × 166,167
4. Step 4: Simplify right side
   111,791x = 27,611,471,889
5. Step 5: Solve for x
   x = 27,611,471,889/111,791
6. Step 6: Final answer
   x = 246,991.90