Finding the Third Proportional to 307,556 and 413,764

Step by Step Solution

1. Step 1: Write the proportion equation
   307,556 : 413,764 = 413,764 : x
2. Step 2: Convert to fraction form
   307,556/413,764 = 413,764/x
3. Step 3: Cross multiply
   307,556x = 413,764 × 413,764
4. Step 4: Simplify right side
   307,556x = 171,200,647,696
5. Step 5: Solve for x
   x = 171,200,647,696/307,556
6. Step 6: Final answer
   x = 556,648.70