Finding the Third Proportional to 96,876 and 205,200

Step by Step Solution

1. Step 1: Write the proportion equation
   96,876 : 205,200 = 205,200 : x
2. Step 2: Convert to fraction form
   96,876/205,200 = 205,200/x
3. Step 3: Cross multiply
   96,876x = 205,200 × 205,200
4. Step 4: Simplify right side
   96,876x = 42,107,040,000
5. Step 5: Solve for x
   x = 42,107,040,000/96,876
6. Step 6: Final answer
   x = 434,648.83