Finding the Third Proportional to 78,705 and 169,074

Step by Step Solution

1. Step 1: Write the proportion equation
   78,705 : 169,074 = 169,074 : x
2. Step 2: Convert to fraction form
   78,705/169,074 = 169,074/x
3. Step 3: Cross multiply
   78,705x = 169,074 × 169,074
4. Step 4: Simplify right side
   78,705x = 28,586,017,476
5. Step 5: Solve for x
   x = 28,586,017,476/78,705
6. Step 6: Final answer
   x = 363,204.59