Finding the Third Proportional to 142,967 and 309,471

Step by Step Solution

1. Step 1: Write the proportion equation
   142,967 : 309,471 = 309,471 : x
2. Step 2: Convert to fraction form
   142,967/309,471 = 309,471/x
3. Step 3: Cross multiply
   142,967x = 309,471 × 309,471
4. Step 4: Simplify right side
   142,967x = 95,772,299,841
5. Step 5: Solve for x
   x = 95,772,299,841/142,967
6. Step 6: Final answer
   x = 669,890.95