Finding the Third Proportional to 301,196 and 401,540

Step by Step Solution

1. Step 1: Write the proportion equation
   301,196 : 401,540 = 401,540 : x
2. Step 2: Convert to fraction form
   301,196/401,540 = 401,540/x
3. Step 3: Cross multiply
   301,196x = 401,540 × 401,540
4. Step 4: Simplify right side
   301,196x = 161,234,371,600
5. Step 5: Solve for x
   x = 161,234,371,600/301,196
6. Step 6: Final answer
   x = 535,313.79