Finding the Third Proportional to 406,026 and 567,648

Step by Step Solution

1. Step 1: Write the proportion equation
   406,026 : 567,648 = 567,648 : x
2. Step 2: Convert to fraction form
   406,026/567,648 = 567,648/x
3. Step 3: Cross multiply
   406,026x = 567,648 × 567,648
4. Step 4: Simplify right side
   406,026x = 322,224,251,904
5. Step 5: Solve for x
   x = 322,224,251,904/406,026
6. Step 6: Final answer
   x = 793,604.97