Finding the Third Proportional to 78,864 and 170,240

Step by Step Solution

1. Step 1: Write the proportion equation
   78,864 : 170,240 = 170,240 : x
2. Step 2: Convert to fraction form
   78,864/170,240 = 170,240/x
3. Step 3: Cross multiply
   78,864x = 170,240 × 170,240
4. Step 4: Simplify right side
   78,864x = 28,981,657,600
5. Step 5: Solve for x
   x = 28,981,657,600/78,864
6. Step 6: Final answer
   x = 367,489.06