Finding the Third Proportional to 472,870 and 726,807

Step by Step Solution

1. Step 1: Write the proportion equation
   472,870 : 726,807 = 726,807 : x
2. Step 2: Convert to fraction form
   472,870/726,807 = 726,807/x
3. Step 3: Cross multiply
   472,870x = 726,807 × 726,807
4. Step 4: Simplify right side
   472,870x = 528,248,415,249
5. Step 5: Solve for x
   x = 528,248,415,249/472,870
6. Step 6: Final answer
   x = 1,117,111.29