Finding the Third Proportional to 598.50 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   598.50 : 830.25 = 830.25 : x
2. Step 2: Convert to fraction form
   598.50/830.25 = 830.25/x
3. Step 3: Cross multiply
   598.50x = 830.25 × 830.25
4. Step 4: Simplify right side
   598.50x = 689,315.06
5. Step 5: Solve for x
   x = 689,315.06/598.50
6. Step 6: Final answer
   x = 1,151.74