Finding the Third Proportional to 500.34 and 667.83

Step by Step Solution

1. Step 1: Write the proportion equation
   500.34 : 667.83 = 667.83 : x
2. Step 2: Convert to fraction form
   500.34/667.83 = 667.83/x
3. Step 3: Cross multiply
   500.34x = 667.83 × 667.83
4. Step 4: Simplify right side
   500.34x = 445,994.40
5. Step 5: Solve for x
   x = 445,994.40/500.34
6. Step 6: Final answer
   x = 891.38