Finding the Third Proportional to 142,311 and 300,294

Step by Step Solution

1. Step 1: Write the proportion equation
   142,311 : 300,294 = 300,294 : x
2. Step 2: Convert to fraction form
   142,311/300,294 = 300,294/x
3. Step 3: Cross multiply
   142,311x = 300,294 × 300,294
4. Step 4: Simplify right side
   142,311x = 90,176,486,436
5. Step 5: Solve for x
   x = 90,176,486,436/142,311
6. Step 6: Final answer
   x = 633,657.88