Finding the Third Proportional to 142,380 and 313,182

Step by Step Solution

1. Step 1: Write the proportion equation
   142,380 : 313,182 = 313,182 : x
2. Step 2: Convert to fraction form
   142,380/313,182 = 313,182/x
3. Step 3: Cross multiply
   142,380x = 313,182 × 313,182
4. Step 4: Simplify right side
   142,380x = 98,082,965,124
5. Step 5: Solve for x
   x = 98,082,965,124/142,380
6. Step 6: Final answer
   x = 688,881.62