Finding the Third Proportional to 294,288 and 466,308

Step by Step Solution

1. Step 1: Write the proportion equation
   294,288 : 466,308 = 466,308 : x
2. Step 2: Convert to fraction form
   294,288/466,308 = 466,308/x
3. Step 3: Cross multiply
   294,288x = 466,308 × 466,308
4. Step 4: Simplify right side
   294,288x = 217,443,150,864
5. Step 5: Solve for x
   x = 217,443,150,864/294,288
6. Step 6: Final answer
   x = 738,878.75