Finding the Third Proportional to 275,500 and 417,410

Step by Step Solution

1. Step 1: Write the proportion equation
   275,500 : 417,410 = 417,410 : x
2. Step 2: Convert to fraction form
   275,500/417,410 = 417,410/x
3. Step 3: Cross multiply
   275,500x = 417,410 × 417,410
4. Step 4: Simplify right side
   275,500x = 174,231,108,100
5. Step 5: Solve for x
   x = 174,231,108,100/275,500
6. Step 6: Final answer
   x = 632,417.82