Finding the Third Proportional to 142,767 and 317,447

Step by Step Solution

1. Step 1: Write the proportion equation
   142,767 : 317,447 = 317,447 : x
2. Step 2: Convert to fraction form
   142,767/317,447 = 317,447/x
3. Step 3: Cross multiply
   142,767x = 317,447 × 317,447
4. Step 4: Simplify right side
   142,767x = 100,772,597,809
5. Step 5: Solve for x
   x = 100,772,597,809/142,767
6. Step 6: Final answer
   x = 705,853.58