Finding the Third Proportional to 109,264 and 164,900

Step by Step Solution

1. Step 1: Write the proportion equation
   109,264 : 164,900 = 164,900 : x
2. Step 2: Convert to fraction form
   109,264/164,900 = 164,900/x
3. Step 3: Cross multiply
   109,264x = 164,900 × 164,900
4. Step 4: Simplify right side
   109,264x = 27,192,010,000
5. Step 5: Solve for x
   x = 27,192,010,000/109,264
6. Step 6: Final answer
   x = 248,865.23