Finding the Third Proportional to 78,456 and 170,016

Step by Step Solution

1. Step 1: Write the proportion equation
   78,456 : 170,016 = 170,016 : x
2. Step 2: Convert to fraction form
   78,456/170,016 = 170,016/x
3. Step 3: Cross multiply
   78,456x = 170,016 × 170,016
4. Step 4: Simplify right side
   78,456x = 28,905,440,256
5. Step 5: Solve for x
   x = 28,905,440,256/78,456
6. Step 6: Final answer
   x = 368,428.68