Finding the Third Proportional to 196,866 and 288,738

Step by Step Solution

1. Step 1: Write the proportion equation
   196,866 : 288,738 = 288,738 : x
2. Step 2: Convert to fraction form
   196,866/288,738 = 288,738/x
3. Step 3: Cross multiply
   196,866x = 288,738 × 288,738
4. Step 4: Simplify right side
   196,866x = 83,369,632,644
5. Step 5: Solve for x
   x = 83,369,632,644/196,866
6. Step 6: Final answer
   x = 423,484.16