Finding the Third Proportional to 262,663 and 401,620

Step by Step Solution

1. Step 1: Write the proportion equation
   262,663 : 401,620 = 401,620 : x
2. Step 2: Convert to fraction form
   262,663/401,620 = 401,620/x
3. Step 3: Cross multiply
   262,663x = 401,620 × 401,620
4. Step 4: Simplify right side
   262,663x = 161,298,624,400
5. Step 5: Solve for x
   x = 161,298,624,400/262,663
6. Step 6: Final answer
   x = 614,089.63