Finding the Third Proportional to 264,407 and 397,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,407 : 397,196.50 = 397,196.50 : x
2. Step 2: Convert to fraction form
   264,407/397,196.50 = 397,196.50/x
3. Step 3: Cross multiply
   264,407x = 397,196.50 × 397,196.50
4. Step 4: Simplify right side
   264,407x = 157,765,059,612.25
5. Step 5: Solve for x
   x = 157,765,059,612.25/264,407
6. Step 6: Final answer
   x = 596,675.05