Finding the Third Proportional to 212,252 and 463,876

Step by Step Solution

1. Step 1: Write the proportion equation
   212,252 : 463,876 = 463,876 : x
2. Step 2: Convert to fraction form
   212,252/463,876 = 463,876/x
3. Step 3: Cross multiply
   212,252x = 463,876 × 463,876
4. Step 4: Simplify right side
   212,252x = 215,180,943,376
5. Step 5: Solve for x
   x = 215,180,943,376/212,252
6. Step 6: Final answer
   x = 1,013,799.37