Finding the Third Proportional to 109,162 and 166,658

Step by Step Solution

1. Step 1: Write the proportion equation
   109,162 : 166,658 = 166,658 : x
2. Step 2: Convert to fraction form
   109,162/166,658 = 166,658/x
3. Step 3: Cross multiply
   109,162x = 166,658 × 166,658
4. Step 4: Simplify right side
   109,162x = 27,774,888,964
5. Step 5: Solve for x
   x = 27,774,888,964/109,162
6. Step 6: Final answer
   x = 254,437.34