Finding the Third Proportional to 78,566 and 169,582

Step by Step Solution

1. Step 1: Write the proportion equation
   78,566 : 169,582 = 169,582 : x
2. Step 2: Convert to fraction form
   78,566/169,582 = 169,582/x
3. Step 3: Cross multiply
   78,566x = 169,582 × 169,582
4. Step 4: Simplify right side
   78,566x = 28,758,054,724
5. Step 5: Solve for x
   x = 28,758,054,724/78,566
6. Step 6: Final answer
   x = 366,036.90