Finding the Third Proportional to 264,474 and 397,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,474 : 397,297.50 = 397,297.50 : x
2. Step 2: Convert to fraction form
   264,474/397,297.50 = 397,297.50/x
3. Step 3: Cross multiply
   264,474x = 397,297.50 × 397,297.50
4. Step 4: Simplify right side
   264,474x = 157,845,303,506.25
5. Step 5: Solve for x
   x = 157,845,303,506.25/264,474
6. Step 6: Final answer
   x = 596,827.30