Finding the Third Proportional to 142,320 and 309,696

Step by Step Solution

1. Step 1: Write the proportion equation
   142,320 : 309,696 = 309,696 : x
2. Step 2: Convert to fraction form
   142,320/309,696 = 309,696/x
3. Step 3: Cross multiply
   142,320x = 309,696 × 309,696
4. Step 4: Simplify right side
   142,320x = 95,911,612,416
5. Step 5: Solve for x
   x = 95,911,612,416/142,320
6. Step 6: Final answer
   x = 673,915.21