Finding the Third Proportional to 78,304 and 169,244

Step by Step Solution

1. Step 1: Write the proportion equation
   78,304 : 169,244 = 169,244 : x
2. Step 2: Convert to fraction form
   78,304/169,244 = 169,244/x
3. Step 3: Cross multiply
   78,304x = 169,244 × 169,244
4. Step 4: Simplify right side
   78,304x = 28,643,531,536
5. Step 5: Solve for x
   x = 28,643,531,536/78,304
6. Step 6: Final answer
   x = 365,799.08