Finding the Third Proportional to 301,404 and 410,460

Step by Step Solution

1. Step 1: Write the proportion equation
   301,404 : 410,460 = 410,460 : x
2. Step 2: Convert to fraction form
   301,404/410,460 = 410,460/x
3. Step 3: Cross multiply
   301,404x = 410,460 × 410,460
4. Step 4: Simplify right side
   301,404x = 168,477,411,600
5. Step 5: Solve for x
   x = 168,477,411,600/301,404
6. Step 6: Final answer
   x = 558,975.37