Finding the Third Proportional to 200,515 and 417,616

Step by Step Solution

1. Step 1: Write the proportion equation
   200,515 : 417,616 = 417,616 : x
2. Step 2: Convert to fraction form
   200,515/417,616 = 417,616/x
3. Step 3: Cross multiply
   200,515x = 417,616 × 417,616
4. Step 4: Simplify right side
   200,515x = 174,403,123,456
5. Step 5: Solve for x
   x = 174,403,123,456/200,515
6. Step 6: Final answer
   x = 869,775.94