Finding the Third Proportional to 578 and 956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   578 : 956.50 = 956.50 : x
2. Step 2: Convert to fraction form
   578/956.50 = 956.50/x
3. Step 3: Cross multiply
   578x = 956.50 × 956.50
4. Step 4: Simplify right side
   578x = 914,892.25
5. Step 5: Solve for x
   x = 914,892.25/578
6. Step 6: Final answer
   x = 1,582.86