Finding the Third Proportional to 109,016 and 154,264

Step by Step Solution

1. Step 1: Write the proportion equation
   109,016 : 154,264 = 154,264 : x
2. Step 2: Convert to fraction form
   109,016/154,264 = 154,264/x
3. Step 3: Cross multiply
   109,016x = 154,264 × 154,264
4. Step 4: Simplify right side
   109,016x = 23,797,381,696
5. Step 5: Solve for x
   x = 23,797,381,696/109,016
6. Step 6: Final answer
   x = 218,292.56