Finding the Third Proportional to 253,687.50 and 401,400

Step by Step Solution

1. Step 1: Write the proportion equation
   253,687.50 : 401,400 = 401,400 : x
2. Step 2: Convert to fraction form
   253,687.50/401,400 = 401,400/x
3. Step 3: Cross multiply
   253,687.50x = 401,400 × 401,400
4. Step 4: Simplify right side
   253,687.50x = 161,121,960,000
5. Step 5: Solve for x
   x = 161,121,960,000/253,687.50
6. Step 6: Final answer
   x = 635,119.82