Finding the Third Proportional to 257,675 and 401,235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,675 : 401,235.50 = 401,235.50 : x
2. Step 2: Convert to fraction form
   257,675/401,235.50 = 401,235.50/x
3. Step 3: Cross multiply
   257,675x = 401,235.50 × 401,235.50
4. Step 4: Simplify right side
   257,675x = 160,989,926,460.25
5. Step 5: Solve for x
   x = 160,989,926,460.25/257,675
6. Step 6: Final answer
   x = 624,778.99