Finding the Third Proportional to 472,820 and 709,714

Step by Step Solution

1. Step 1: Write the proportion equation
   472,820 : 709,714 = 709,714 : x
2. Step 2: Convert to fraction form
   472,820/709,714 = 709,714/x
3. Step 3: Cross multiply
   472,820x = 709,714 × 709,714
4. Step 4: Simplify right side
   472,820x = 503,693,961,796
5. Step 5: Solve for x
   x = 503,693,961,796/472,820
6. Step 6: Final answer
   x = 1,065,297.50