Finding the Third Proportional to 142,284 and 309,624

Step by Step Solution

1. Step 1: Write the proportion equation
   142,284 : 309,624 = 309,624 : x
2. Step 2: Convert to fraction form
   142,284/309,624 = 309,624/x
3. Step 3: Cross multiply
   142,284x = 309,624 × 309,624
4. Step 4: Simplify right side
   142,284x = 95,867,021,376
5. Step 5: Solve for x
   x = 95,867,021,376/142,284
6. Step 6: Final answer
   x = 673,772.32