Finding the Third Proportional to 196,876 and 428,216

Step by Step Solution

1. Step 1: Write the proportion equation
   196,876 : 428,216 = 428,216 : x
2. Step 2: Convert to fraction form
   196,876/428,216 = 428,216/x
3. Step 3: Cross multiply
   196,876x = 428,216 × 428,216
4. Step 4: Simplify right side
   196,876x = 183,368,942,656
5. Step 5: Solve for x
   x = 183,368,942,656/196,876
6. Step 6: Final answer
   x = 931,393.07