Finding the Third Proportional to 500.34 and 958.78

Step by Step Solution

1. Step 1: Write the proportion equation
   500.34 : 958.78 = 958.78 : x
2. Step 2: Convert to fraction form
   500.34/958.78 = 958.78/x
3. Step 3: Cross multiply
   500.34x = 958.78 × 958.78
4. Step 4: Simplify right side
   500.34x = 919,261.49
5. Step 5: Solve for x
   x = 919,261.49/500.34
6. Step 6: Final answer
   x = 1,837.26