Finding the Third Proportional to 196,978.50 and 288,477

Step by Step Solution

1. Step 1: Write the proportion equation
   196,978.50 : 288,477 = 288,477 : x
2. Step 2: Convert to fraction form
   196,978.50/288,477 = 288,477/x
3. Step 3: Cross multiply
   196,978.50x = 288,477 × 288,477
4. Step 4: Simplify right side
   196,978.50x = 83,218,979,529
5. Step 5: Solve for x
   x = 83,218,979,529/196,978.50
6. Step 6: Final answer
   x = 422,477.48