Finding the Third Proportional to 142,892 and 313,984

Step by Step Solution

1. Step 1: Write the proportion equation
   142,892 : 313,984 = 313,984 : x
2. Step 2: Convert to fraction form
   142,892/313,984 = 313,984/x
3. Step 3: Cross multiply
   142,892x = 313,984 × 313,984
4. Step 4: Simplify right side
   142,892x = 98,585,952,256
5. Step 5: Solve for x
   x = 98,585,952,256/142,892
6. Step 6: Final answer
   x = 689,933.32