Finding the Third Proportional to 109,744 and 166,146

Step by Step Solution

1. Step 1: Write the proportion equation
   109,744 : 166,146 = 166,146 : x
2. Step 2: Convert to fraction form
   109,744/166,146 = 166,146/x
3. Step 3: Cross multiply
   109,744x = 166,146 × 166,146
4. Step 4: Simplify right side
   109,744x = 27,604,493,316
5. Step 5: Solve for x
   x = 27,604,493,316/109,744
6. Step 6: Final answer
   x = 251,535.33