Finding the Third Proportional to 412,920 and 601,404

Step by Step Solution

1. Step 1: Write the proportion equation
   412,920 : 601,404 = 601,404 : x
2. Step 2: Convert to fraction form
   412,920/601,404 = 601,404/x
3. Step 3: Cross multiply
   412,920x = 601,404 × 601,404
4. Step 4: Simplify right side
   412,920x = 361,686,771,216
5. Step 5: Solve for x
   x = 361,686,771,216/412,920
6. Step 6: Final answer
   x = 875,924.56