Finding the Third Proportional to 85,958 and 131,408

Step by Step Solution

1. Step 1: Write the proportion equation
   85,958 : 131,408 = 131,408 : x
2. Step 2: Convert to fraction form
   85,958/131,408 = 131,408/x
3. Step 3: Cross multiply
   85,958x = 131,408 × 131,408
4. Step 4: Simplify right side
   85,958x = 17,268,062,464
5. Step 5: Solve for x
   x = 17,268,062,464/85,958
6. Step 6: Final answer
   x = 200,889.53