Finding the Third Proportional to 262,764 and 406,397.25

Step by Step Solution

1. Step 1: Write the proportion equation
   262,764 : 406,397.25 = 406,397.25 : x
2. Step 2: Convert to fraction form
   262,764/406,397.25 = 406,397.25/x
3. Step 3: Cross multiply
   262,764x = 406,397.25 × 406,397.25
4. Step 4: Simplify right side
   262,764x = 165,158,724,807.56
5. Step 5: Solve for x
   x = 165,158,724,807.56/262,764
6. Step 6: Final answer
   x = 628,543.96