Finding the Third Proportional to 468,976 and 725,878

Step by Step Solution

1. Step 1: Write the proportion equation
   468,976 : 725,878 = 725,878 : x
2. Step 2: Convert to fraction form
   468,976/725,878 = 725,878/x
3. Step 3: Cross multiply
   468,976x = 725,878 × 725,878
4. Step 4: Simplify right side
   468,976x = 526,898,870,884
5. Step 5: Solve for x
   x = 526,898,870,884/468,976
6. Step 6: Final answer
   x = 1,123,509.24