Finding the Third Proportional to 142,265 and 311,314

Step by Step Solution

1. Step 1: Write the proportion equation
   142,265 : 311,314 = 311,314 : x
2. Step 2: Convert to fraction form
   142,265/311,314 = 311,314/x
3. Step 3: Cross multiply
   142,265x = 311,314 × 311,314
4. Step 4: Simplify right side
   142,265x = 96,916,406,596
5. Step 5: Solve for x
   x = 96,916,406,596/142,265
6. Step 6: Final answer
   x = 681,238.58