Finding the Third Proportional to 196,987 and 288,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,987 : 288,493.50 = 288,493.50 : x
2. Step 2: Convert to fraction form
   196,987/288,493.50 = 288,493.50/x
3. Step 3: Cross multiply
   196,987x = 288,493.50 × 288,493.50
4. Step 4: Simplify right side
   196,987x = 83,228,499,542.25
5. Step 5: Solve for x
   x = 83,228,499,542.25/196,987
6. Step 6: Final answer
   x = 422,507.57