Finding the Third Proportional to 262,371 and 405,150

Step by Step Solution

1. Step 1: Write the proportion equation
   262,371 : 405,150 = 405,150 : x
2. Step 2: Convert to fraction form
   262,371/405,150 = 405,150/x
3. Step 3: Cross multiply
   262,371x = 405,150 × 405,150
4. Step 4: Simplify right side
   262,371x = 164,146,522,500
5. Step 5: Solve for x
   x = 164,146,522,500/262,371
6. Step 6: Final answer
   x = 625,627.54