Finding the Third Proportional to 414,906 and 567,826

Step by Step Solution

1. Step 1: Write the proportion equation
   414,906 : 567,826 = 567,826 : x
2. Step 2: Convert to fraction form
   414,906/567,826 = 567,826/x
3. Step 3: Cross multiply
   414,906x = 567,826 × 567,826
4. Step 4: Simplify right side
   414,906x = 322,426,366,276
5. Step 5: Solve for x
   x = 322,426,366,276/414,906
6. Step 6: Final answer
   x = 777,107.02