Finding the Third Proportional to 843.50 and 917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   843.50 : 917.50 = 917.50 : x
2. Step 2: Convert to fraction form
   843.50/917.50 = 917.50/x
3. Step 3: Cross multiply
   843.50x = 917.50 × 917.50
4. Step 4: Simplify right side
   843.50x = 841,806.25
5. Step 5: Solve for x
   x = 841,806.25/843.50
6. Step 6: Final answer
   x = 997.99