Finding the Third Proportional to 142,146 and 309,345

Step by Step Solution

1. Step 1: Write the proportion equation
   142,146 : 309,345 = 309,345 : x
2. Step 2: Convert to fraction form
   142,146/309,345 = 309,345/x
3. Step 3: Cross multiply
   142,146x = 309,345 × 309,345
4. Step 4: Simplify right side
   142,146x = 95,694,329,025
5. Step 5: Solve for x
   x = 95,694,329,025/142,146
6. Step 6: Final answer
   x = 673,211.55