Finding the Third Proportional to 142,284 and 329,404

Step by Step Solution

1. Step 1: Write the proportion equation
   142,284 : 329,404 = 329,404 : x
2. Step 2: Convert to fraction form
   142,284/329,404 = 329,404/x
3. Step 3: Cross multiply
   142,284x = 329,404 × 329,404
4. Step 4: Simplify right side
   142,284x = 108,506,995,216
5. Step 5: Solve for x
   x = 108,506,995,216/142,284
6. Step 6: Final answer
   x = 762,608.55