Finding the Third Proportional to 196,834 and 288,690

Step by Step Solution

1. Step 1: Write the proportion equation
   196,834 : 288,690 = 288,690 : x
2. Step 2: Convert to fraction form
   196,834/288,690 = 288,690/x
3. Step 3: Cross multiply
   196,834x = 288,690 × 288,690
4. Step 4: Simplify right side
   196,834x = 83,341,916,100
5. Step 5: Solve for x
   x = 83,341,916,100/196,834
6. Step 6: Final answer
   x = 423,412.20