Finding the Third Proportional to 109,266 and 164,898

Step by Step Solution

1. Step 1: Write the proportion equation
   109,266 : 164,898 = 164,898 : x
2. Step 2: Convert to fraction form
   109,266/164,898 = 164,898/x
3. Step 3: Cross multiply
   109,266x = 164,898 × 164,898
4. Step 4: Simplify right side
   109,266x = 27,191,350,404
5. Step 5: Solve for x
   x = 27,191,350,404/109,266
6. Step 6: Final answer
   x = 248,854.63