Finding the Third Proportional to 253,275 and 401,055

Step by Step Solution

1. Step 1: Write the proportion equation
   253,275 : 401,055 = 401,055 : x
2. Step 2: Convert to fraction form
   253,275/401,055 = 401,055/x
3. Step 3: Cross multiply
   253,275x = 401,055 × 401,055
4. Step 4: Simplify right side
   253,275x = 160,845,113,025
5. Step 5: Solve for x
   x = 160,845,113,025/253,275
6. Step 6: Final answer
   x = 635,061.15