Finding the Third Proportional to 142,190 and 311,164

Step by Step Solution

1. Step 1: Write the proportion equation
   142,190 : 311,164 = 311,164 : x
2. Step 2: Convert to fraction form
   142,190/311,164 = 311,164/x
3. Step 3: Cross multiply
   142,190x = 311,164 × 311,164
4. Step 4: Simplify right side
   142,190x = 96,823,034,896
5. Step 5: Solve for x
   x = 96,823,034,896/142,190
6. Step 6: Final answer
   x = 680,941.24