Finding the Third Proportional to 196,587 and 296,510

Step by Step Solution

1. Step 1: Write the proportion equation
   196,587 : 296,510 = 296,510 : x
2. Step 2: Convert to fraction form
   196,587/296,510 = 296,510/x
3. Step 3: Cross multiply
   196,587x = 296,510 × 296,510
4. Step 4: Simplify right side
   196,587x = 87,918,180,100
5. Step 5: Solve for x
   x = 87,918,180,100/196,587
6. Step 6: Final answer
   x = 447,222.76