Finding the Third Proportional to 469,066 and 726,768

Step by Step Solution

1. Step 1: Write the proportion equation
   469,066 : 726,768 = 726,768 : x
2. Step 2: Convert to fraction form
   469,066/726,768 = 726,768/x
3. Step 3: Cross multiply
   469,066x = 726,768 × 726,768
4. Step 4: Simplify right side
   469,066x = 528,191,725,824
5. Step 5: Solve for x
   x = 528,191,725,824/469,066
6. Step 6: Final answer
   x = 1,126,049.91