Finding the Third Proportional to 142,506 and 311,256

Step by Step Solution

1. Step 1: Write the proportion equation
   142,506 : 311,256 = 311,256 : x
2. Step 2: Convert to fraction form
   142,506/311,256 = 311,256/x
3. Step 3: Cross multiply
   142,506x = 311,256 × 311,256
4. Step 4: Simplify right side
   142,506x = 96,880,297,536
5. Step 5: Solve for x
   x = 96,880,297,536/142,506
6. Step 6: Final answer
   x = 679,833.11