Finding the Third Proportional to 196,584 and 296,505

Step by Step Solution

1. Step 1: Write the proportion equation
   196,584 : 296,505 = 296,505 : x
2. Step 2: Convert to fraction form
   196,584/296,505 = 296,505/x
3. Step 3: Cross multiply
   196,584x = 296,505 × 296,505
4. Step 4: Simplify right side
   196,584x = 87,915,215,025
5. Step 5: Solve for x
   x = 87,915,215,025/196,584
6. Step 6: Final answer
   x = 447,214.50