Finding the Third Proportional to 142,146 and 306,162

Step by Step Solution

1. Step 1: Write the proportion equation
   142,146 : 306,162 = 306,162 : x
2. Step 2: Convert to fraction form
   142,146/306,162 = 306,162/x
3. Step 3: Cross multiply
   142,146x = 306,162 × 306,162
4. Step 4: Simplify right side
   142,146x = 93,735,170,244
5. Step 5: Solve for x
   x = 93,735,170,244/142,146
6. Step 6: Final answer
   x = 659,428.83