Finding the Third Proportional to 83,862 and 113,958

Step by Step Solution

1. Step 1: Write the proportion equation
   83,862 : 113,958 = 113,958 : x
2. Step 2: Convert to fraction form
   83,862/113,958 = 113,958/x
3. Step 3: Cross multiply
   83,862x = 113,958 × 113,958
4. Step 4: Simplify right side
   83,862x = 12,986,425,764
5. Step 5: Solve for x
   x = 12,986,425,764/83,862
6. Step 6: Final answer
   x = 154,854.71