Finding the Third Proportional to 142,176 and 329,142

Step by Step Solution

1. Step 1: Write the proportion equation
   142,176 : 329,142 = 329,142 : x
2. Step 2: Convert to fraction form
   142,176/329,142 = 329,142/x
3. Step 3: Cross multiply
   142,176x = 329,142 × 329,142
4. Step 4: Simplify right side
   142,176x = 108,334,456,164
5. Step 5: Solve for x
   x = 108,334,456,164/142,176
6. Step 6: Final answer
   x = 761,974.29