Finding the Third Proportional to 598.50 and 641.25

Step by Step Solution

1. Step 1: Write the proportion equation
   598.50 : 641.25 = 641.25 : x
2. Step 2: Convert to fraction form
   598.50/641.25 = 641.25/x
3. Step 3: Cross multiply
   598.50x = 641.25 × 641.25
4. Step 4: Simplify right side
   598.50x = 411,201.56
5. Step 5: Solve for x
   x = 411,201.56/598.50
6. Step 6: Final answer
   x = 687.05