Finding the Third Proportional to 349,826 and 472,610

Step by Step Solution

1. Step 1: Write the proportion equation
   349,826 : 472,610 = 472,610 : x
2. Step 2: Convert to fraction form
   349,826/472,610 = 472,610/x
3. Step 3: Cross multiply
   349,826x = 472,610 × 472,610
4. Step 4: Simplify right side
   349,826x = 223,360,212,100
5. Step 5: Solve for x
   x = 223,360,212,100/349,826
6. Step 6: Final answer
   x = 638,489.46