Finding the Third Proportional to 366,980 and 561,410

Step by Step Solution

1. Step 1: Write the proportion equation
   366,980 : 561,410 = 561,410 : x
2. Step 2: Convert to fraction form
   366,980/561,410 = 561,410/x
3. Step 3: Cross multiply
   366,980x = 561,410 × 561,410
4. Step 4: Simplify right side
   366,980x = 315,181,188,100
5. Step 5: Solve for x
   x = 315,181,188,100/366,980
6. Step 6: Final answer
   x = 858,851.13