Finding the Third Proportional to 468,846 and 726,436

Step by Step Solution

1. Step 1: Write the proportion equation
   468,846 : 726,436 = 726,436 : x
2. Step 2: Convert to fraction form
   468,846/726,436 = 726,436/x
3. Step 3: Cross multiply
   468,846x = 726,436 × 726,436
4. Step 4: Simplify right side
   468,846x = 527,709,262,096
5. Step 5: Solve for x
   x = 527,709,262,096/468,846
6. Step 6: Final answer
   x = 1,125,549.25