Finding the Third Proportional to 265,556 and 406,078

Step by Step Solution

1. Step 1: Write the proportion equation
   265,556 : 406,078 = 406,078 : x
2. Step 2: Convert to fraction form
   265,556/406,078 = 406,078/x
3. Step 3: Cross multiply
   265,556x = 406,078 × 406,078
4. Step 4: Simplify right side
   265,556x = 164,899,342,084
5. Step 5: Solve for x
   x = 164,899,342,084/265,556
6. Step 6: Final answer
   x = 620,958.83