Finding the Third Proportional to 142,862 and 338,457

Step by Step Solution

1. Step 1: Write the proportion equation
   142,862 : 338,457 = 338,457 : x
2. Step 2: Convert to fraction form
   142,862/338,457 = 338,457/x
3. Step 3: Cross multiply
   142,862x = 338,457 × 338,457
4. Step 4: Simplify right side
   142,862x = 114,553,140,849
5. Step 5: Solve for x
   x = 114,553,140,849/142,862
6. Step 6: Final answer
   x = 801,844.72