Finding the Third Proportional to 498,816 and 746,256

Step by Step Solution

1. Step 1: Write the proportion equation
   498,816 : 746,256 = 746,256 : x
2. Step 2: Convert to fraction form
   498,816/746,256 = 746,256/x
3. Step 3: Cross multiply
   498,816x = 746,256 × 746,256
4. Step 4: Simplify right side
   498,816x = 556,898,017,536
5. Step 5: Solve for x
   x = 556,898,017,536/498,816
6. Step 6: Final answer
   x = 1,116,439.76