Finding the Third Proportional to 99,870 and 218,496

Step by Step Solution

1. Step 1: Write the proportion equation
   99,870 : 218,496 = 218,496 : x
2. Step 2: Convert to fraction form
   99,870/218,496 = 218,496/x
3. Step 3: Cross multiply
   99,870x = 218,496 × 218,496
4. Step 4: Simplify right side
   99,870x = 47,740,502,016
5. Step 5: Solve for x
   x = 47,740,502,016/99,870
6. Step 6: Final answer
   x = 478,026.45