Finding the Third Proportional to 144,294 and 309,324

Step by Step Solution

1. Step 1: Write the proportion equation
   144,294 : 309,324 = 309,324 : x
2. Step 2: Convert to fraction form
   144,294/309,324 = 309,324/x
3. Step 3: Cross multiply
   144,294x = 309,324 × 309,324
4. Step 4: Simplify right side
   144,294x = 95,681,336,976
5. Step 5: Solve for x
   x = 95,681,336,976/144,294
6. Step 6: Final answer
   x = 663,099.90