Finding the Third Proportional to 847.50 and 919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   847.50 : 919.50 = 919.50 : x
2. Step 2: Convert to fraction form
   847.50/919.50 = 919.50/x
3. Step 3: Cross multiply
   847.50x = 919.50 × 919.50
4. Step 4: Simplify right side
   847.50x = 845,480.25
5. Step 5: Solve for x
   x = 845,480.25/847.50
6. Step 6: Final answer
   x = 997.62