Finding the Third Proportional to 196,591.50 and 296,512

Step by Step Solution

1. Step 1: Write the proportion equation
   196,591.50 : 296,512 = 296,512 : x
2. Step 2: Convert to fraction form
   196,591.50/296,512 = 296,512/x
3. Step 3: Cross multiply
   196,591.50x = 296,512 × 296,512
4. Step 4: Simplify right side
   196,591.50x = 87,919,366,144
5. Step 5: Solve for x
   x = 87,919,366,144/196,591.50
6. Step 6: Final answer
   x = 447,218.55