Finding the Third Proportional to 172,597.50 and 264,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,597.50 : 264,910.50 = 264,910.50 : x
2. Step 2: Convert to fraction form
   172,597.50/264,910.50 = 264,910.50/x
3. Step 3: Cross multiply
   172,597.50x = 264,910.50 × 264,910.50
4. Step 4: Simplify right side
   172,597.50x = 70,177,573,010.25
5. Step 5: Solve for x
   x = 70,177,573,010.25/172,597.50
6. Step 6: Final answer
   x = 406,596.69