Finding the Third Proportional to 296,456 and 659,222

Step by Step Solution

1. Step 1: Write the proportion equation
   296,456 : 659,222 = 659,222 : x
2. Step 2: Convert to fraction form
   296,456/659,222 = 659,222/x
3. Step 3: Cross multiply
   296,456x = 659,222 × 659,222
4. Step 4: Simplify right side
   296,456x = 434,573,645,284
5. Step 5: Solve for x
   x = 434,573,645,284/296,456
6. Step 6: Final answer
   x = 1,465,895.93