Finding the Third Proportional to 101,116 and 217,496

Step by Step Solution

1. Step 1: Write the proportion equation
   101,116 : 217,496 = 217,496 : x
2. Step 2: Convert to fraction form
   101,116/217,496 = 217,496/x
3. Step 3: Cross multiply
   101,116x = 217,496 × 217,496
4. Step 4: Simplify right side
   101,116x = 47,304,510,016
5. Step 5: Solve for x
   x = 47,304,510,016/101,116
6. Step 6: Final answer
   x = 467,824.18