Finding the Third Proportional to 667.50 and 892.88

Step by Step Solution

1. Step 1: Write the proportion equation
   667.50 : 892.88 = 892.88 : x
2. Step 2: Convert to fraction form
   667.50/892.88 = 892.88/x
3. Step 3: Cross multiply
   667.50x = 892.88 × 892.88
4. Step 4: Simplify right side
   667.50x = 797,225.77
5. Step 5: Solve for x
   x = 797,225.77/667.50
6. Step 6: Final answer
   x = 1,194.35