Finding the Third Proportional to 262,649.25 and 401,598

Step by Step Solution

1. Step 1: Write the proportion equation
   262,649.25 : 401,598 = 401,598 : x
2. Step 2: Convert to fraction form
   262,649.25/401,598 = 401,598/x
3. Step 3: Cross multiply
   262,649.25x = 401,598 × 401,598
4. Step 4: Simplify right side
   262,649.25x = 161,280,953,604
5. Step 5: Solve for x
   x = 161,280,953,604/262,649.25
6. Step 6: Final answer
   x = 614,054.50