Finding the Third Proportional to 84,892 and 186,736

Step by Step Solution

1. Step 1: Write the proportion equation
   84,892 : 186,736 = 186,736 : x
2. Step 2: Convert to fraction form
   84,892/186,736 = 186,736/x
3. Step 3: Cross multiply
   84,892x = 186,736 × 186,736
4. Step 4: Simplify right side
   84,892x = 34,870,333,696
5. Step 5: Solve for x
   x = 34,870,333,696/84,892
6. Step 6: Final answer
   x = 410,761.13