Finding the Third Proportional to 253,262 and 401,034

Step by Step Solution

1. Step 1: Write the proportion equation
   253,262 : 401,034 = 401,034 : x
2. Step 2: Convert to fraction form
   253,262/401,034 = 401,034/x
3. Step 3: Cross multiply
   253,262x = 401,034 × 401,034
4. Step 4: Simplify right side
   253,262x = 160,828,269,156
5. Step 5: Solve for x
   x = 160,828,269,156/253,262
6. Step 6: Final answer
   x = 635,027.24