Finding the Third Proportional to 78,810 and 170,736

Step by Step Solution

1. Step 1: Write the proportion equation
   78,810 : 170,736 = 170,736 : x
2. Step 2: Convert to fraction form
   78,810/170,736 = 170,736/x
3. Step 3: Cross multiply
   78,810x = 170,736 × 170,736
4. Step 4: Simplify right side
   78,810x = 29,150,781,696
5. Step 5: Solve for x
   x = 29,150,781,696/78,810
6. Step 6: Final answer
   x = 369,886.84