Finding the Third Proportional to 81,826 and 178,839

Step by Step Solution

1. Step 1: Write the proportion equation
   81,826 : 178,839 = 178,839 : x
2. Step 2: Convert to fraction form
   81,826/178,839 = 178,839/x
3. Step 3: Cross multiply
   81,826x = 178,839 × 178,839
4. Step 4: Simplify right side
   81,826x = 31,983,387,921
5. Step 5: Solve for x
   x = 31,983,387,921/81,826
6. Step 6: Final answer
   x = 390,870.72