Finding the Third Proportional to 82,810 and 178,736

Step by Step Solution

1. Step 1: Write the proportion equation
   82,810 : 178,736 = 178,736 : x
2. Step 2: Convert to fraction form
   82,810/178,736 = 178,736/x
3. Step 3: Cross multiply
   82,810x = 178,736 × 178,736
4. Step 4: Simplify right side
   82,810x = 31,946,557,696
5. Step 5: Solve for x
   x = 31,946,557,696/82,810
6. Step 6: Final answer
   x = 385,781.40