Finding the Third Proportional to 85,008 and 186,792

Step by Step Solution

1. Step 1: Write the proportion equation
   85,008 : 186,792 = 186,792 : x
2. Step 2: Convert to fraction form
   85,008/186,792 = 186,792/x
3. Step 3: Cross multiply
   85,008x = 186,792 × 186,792
4. Step 4: Simplify right side
   85,008x = 34,891,251,264
5. Step 5: Solve for x
   x = 34,891,251,264/85,008
6. Step 6: Final answer
   x = 410,446.68