Finding the Third Proportional to 264,600 and 397,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,600 : 397,495.50 = 397,495.50 : x
2. Step 2: Convert to fraction form
   264,600/397,495.50 = 397,495.50/x
3. Step 3: Cross multiply
   264,600x = 397,495.50 × 397,495.50
4. Step 4: Simplify right side
   264,600x = 158,002,672,520.25
5. Step 5: Solve for x
   x = 158,002,672,520.25/264,600
6. Step 6: Final answer
   x = 597,137.84