Finding the Third Proportional to 209,112 and 315,616

Step by Step Solution

1. Step 1: Write the proportion equation
   209,112 : 315,616 = 315,616 : x
2. Step 2: Convert to fraction form
   209,112/315,616 = 315,616/x
3. Step 3: Cross multiply
   209,112x = 315,616 × 315,616
4. Step 4: Simplify right side
   209,112x = 99,613,459,456
5. Step 5: Solve for x
   x = 99,613,459,456/209,112
6. Step 6: Final answer
   x = 476,364.15