Finding the Third Proportional to 146,452.50 and 319,635

Step by Step Solution

1. Step 1: Write the proportion equation
   146,452.50 : 319,635 = 319,635 : x
2. Step 2: Convert to fraction form
   146,452.50/319,635 = 319,635/x
3. Step 3: Cross multiply
   146,452.50x = 319,635 × 319,635
4. Step 4: Simplify right side
   146,452.50x = 102,166,533,225
5. Step 5: Solve for x
   x = 102,166,533,225/146,452.50
6. Step 6: Final answer
   x = 697,608.67