Finding the Third Proportional to 196,960.50 and 286,830

Step by Step Solution

1. Step 1: Write the proportion equation
   196,960.50 : 286,830 = 286,830 : x
2. Step 2: Convert to fraction form
   196,960.50/286,830 = 286,830/x
3. Step 3: Cross multiply
   196,960.50x = 286,830 × 286,830
4. Step 4: Simplify right side
   196,960.50x = 82,271,448,900
5. Step 5: Solve for x
   x = 82,271,448,900/196,960.50
6. Step 6: Final answer
   x = 417,705.32