Finding the Third Proportional to 142,744 and 309,364

Step by Step Solution

1. Step 1: Write the proportion equation
   142,744 : 309,364 = 309,364 : x
2. Step 2: Convert to fraction form
   142,744/309,364 = 309,364/x
3. Step 3: Cross multiply
   142,744x = 309,364 × 309,364
4. Step 4: Simplify right side
   142,744x = 95,706,084,496
5. Step 5: Solve for x
   x = 95,706,084,496/142,744
6. Step 6: Final answer
   x = 670,473.61