Finding the Third Proportional to 196,834.50 and 412,380

Step by Step Solution

1. Step 1: Write the proportion equation
   196,834.50 : 412,380 = 412,380 : x
2. Step 2: Convert to fraction form
   196,834.50/412,380 = 412,380/x
3. Step 3: Cross multiply
   196,834.50x = 412,380 × 412,380
4. Step 4: Simplify right side
   196,834.50x = 170,057,264,400
5. Step 5: Solve for x
   x = 170,057,264,400/196,834.50
6. Step 6: Final answer
   x = 863,960.66