Finding the Third Proportional to 434,880 and 612,406

Step by Step Solution

1. Step 1: Write the proportion equation
   434,880 : 612,406 = 612,406 : x
2. Step 2: Convert to fraction form
   434,880/612,406 = 612,406/x
3. Step 3: Cross multiply
   434,880x = 612,406 × 612,406
4. Step 4: Simplify right side
   434,880x = 375,041,108,836
5. Step 5: Solve for x
   x = 375,041,108,836/434,880
6. Step 6: Final answer
   x = 862,401.37