Finding the Third Proportional to 197,431 and 288,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,431 : 288,743.50 = 288,743.50 : x
2. Step 2: Convert to fraction form
   197,431/288,743.50 = 288,743.50/x
3. Step 3: Cross multiply
   197,431x = 288,743.50 × 288,743.50
4. Step 4: Simplify right side
   197,431x = 83,372,808,792.25
5. Step 5: Solve for x
   x = 83,372,808,792.25/197,431
6. Step 6: Final answer
   x = 422,288.34