Finding the Third Proportional to 169,826 and 369,142

Step by Step Solution

1. Step 1: Write the proportion equation
   169,826 : 369,142 = 369,142 : x
2. Step 2: Convert to fraction form
   169,826/369,142 = 369,142/x
3. Step 3: Cross multiply
   169,826x = 369,142 × 369,142
4. Step 4: Simplify right side
   169,826x = 136,265,816,164
5. Step 5: Solve for x
   x = 136,265,816,164/169,826
6. Step 6: Final answer
   x = 802,384.89