Finding the Third Proportional to 475,820 and 694,736

Step by Step Solution

1. Step 1: Write the proportion equation
   475,820 : 694,736 = 694,736 : x
2. Step 2: Convert to fraction form
   475,820/694,736 = 694,736/x
3. Step 3: Cross multiply
   475,820x = 694,736 × 694,736
4. Step 4: Simplify right side
   475,820x = 482,658,109,696
5. Step 5: Solve for x
   x = 482,658,109,696/475,820
6. Step 6: Final answer
   x = 1,014,371.21