Finding the Third Proportional to 468,834 and 722,706

Step by Step Solution

1. Step 1: Write the proportion equation
   468,834 : 722,706 = 722,706 : x
2. Step 2: Convert to fraction form
   468,834/722,706 = 722,706/x
3. Step 3: Cross multiply
   468,834x = 722,706 × 722,706
4. Step 4: Simplify right side
   468,834x = 522,303,962,436
5. Step 5: Solve for x
   x = 522,303,962,436/468,834
6. Step 6: Final answer
   x = 1,114,048.82