Finding the Third Proportional to 262,417.50 and 401,919

Step by Step Solution

1. Step 1: Write the proportion equation
   262,417.50 : 401,919 = 401,919 : x
2. Step 2: Convert to fraction form
   262,417.50/401,919 = 401,919/x
3. Step 3: Cross multiply
   262,417.50x = 401,919 × 401,919
4. Step 4: Simplify right side
   262,417.50x = 161,538,882,561
5. Step 5: Solve for x
   x = 161,538,882,561/262,417.50
6. Step 6: Final answer
   x = 615,579.69