Finding the Third Proportional to 140,446 and 296,660

Step by Step Solution

1. Step 1: Write the proportion equation
   140,446 : 296,660 = 296,660 : x
2. Step 2: Convert to fraction form
   140,446/296,660 = 296,660/x
3. Step 3: Cross multiply
   140,446x = 296,660 × 296,660
4. Step 4: Simplify right side
   140,446x = 88,007,155,600
5. Step 5: Solve for x
   x = 88,007,155,600/140,446
6. Step 6: Final answer
   x = 626,626.29