Finding the Third Proportional to 135,917 and 199,870

Step by Step Solution

1. Step 1: Write the proportion equation
   135,917 : 199,870 = 199,870 : x
2. Step 2: Convert to fraction form
   135,917/199,870 = 199,870/x
3. Step 3: Cross multiply
   135,917x = 199,870 × 199,870
4. Step 4: Simplify right side
   135,917x = 39,948,016,900
5. Step 5: Solve for x
   x = 39,948,016,900/135,917
6. Step 6: Final answer
   x = 293,914.79