Finding the Third Proportional to 142,884 and 311,166

Step by Step Solution

1. Step 1: Write the proportion equation
   142,884 : 311,166 = 311,166 : x
2. Step 2: Convert to fraction form
   142,884/311,166 = 311,166/x
3. Step 3: Cross multiply
   142,884x = 311,166 × 311,166
4. Step 4: Simplify right side
   142,884x = 96,824,279,556
5. Step 5: Solve for x
   x = 96,824,279,556/142,884
6. Step 6: Final answer
   x = 677,642.56