Finding the Third Proportional to 408,726 and 564,428.25

Step by Step Solution

1. Step 1: Write the proportion equation
   408,726 : 564,428.25 = 564,428.25 : x
2. Step 2: Convert to fraction form
   408,726/564,428.25 = 564,428.25/x
3. Step 3: Cross multiply
   408,726x = 564,428.25 × 564,428.25
4. Step 4: Simplify right side
   408,726x = 318,579,249,398.06
5. Step 5: Solve for x
   x = 318,579,249,398.06/408,726
6. Step 6: Final answer
   x = 779,444.54