Finding the Third Proportional to 383.17 and 562.89

Step by Step Solution

1. Step 1: Write the proportion equation
   383.17 : 562.89 = 562.89 : x
2. Step 2: Convert to fraction form
   383.17/562.89 = 562.89/x
3. Step 3: Cross multiply
   383.17x = 562.89 × 562.89
4. Step 4: Simplify right side
   383.17x = 316,841.46
5. Step 5: Solve for x
   x = 316,841.46/383.17
6. Step 6: Final answer
   x = 826.90