Finding the Third Proportional to 645.94 and 847.89

Step by Step Solution

1. Step 1: Write the proportion equation
   645.94 : 847.89 = 847.89 : x
2. Step 2: Convert to fraction form
   645.94/847.89 = 847.89/x
3. Step 3: Cross multiply
   645.94x = 847.89 × 847.89
4. Step 4: Simplify right side
   645.94x = 718,916.86
5. Step 5: Solve for x
   x = 718,916.86/645.94
6. Step 6: Final answer
   x = 1,112.97