Finding the Third Proportional to 85,858 and 131,338

Step by Step Solution

1. Step 1: Write the proportion equation
   85,858 : 131,338 = 131,338 : x
2. Step 2: Convert to fraction form
   85,858/131,338 = 131,338/x
3. Step 3: Cross multiply
   85,858x = 131,338 × 131,338
4. Step 4: Simplify right side
   85,858x = 17,249,670,244
5. Step 5: Solve for x
   x = 17,249,670,244/85,858
6. Step 6: Final answer
   x = 200,909.29