Finding the Third Proportional to 142,162 and 306,196

Step by Step Solution

1. Step 1: Write the proportion equation
   142,162 : 306,196 = 306,196 : x
2. Step 2: Convert to fraction form
   142,162/306,196 = 306,196/x
3. Step 3: Cross multiply
   142,162x = 306,196 × 306,196
4. Step 4: Simplify right side
   142,162x = 93,755,990,416
5. Step 5: Solve for x
   x = 93,755,990,416/142,162
6. Step 6: Final answer
   x = 659,501.07