Finding the Third Proportional to 142,200 and 311,184

Step by Step Solution

1. Step 1: Write the proportion equation
   142,200 : 311,184 = 311,184 : x
2. Step 2: Convert to fraction form
   142,200/311,184 = 311,184/x
3. Step 3: Cross multiply
   142,200x = 311,184 × 311,184
4. Step 4: Simplify right side
   142,200x = 96,835,481,856
5. Step 5: Solve for x
   x = 96,835,481,856/142,200
6. Step 6: Final answer
   x = 680,980.89