Finding the Third Proportional to 81,891 and 178,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,891 : 178,204.50 = 178,204.50 : x
2. Step 2: Convert to fraction form
   81,891/178,204.50 = 178,204.50/x
3. Step 3: Cross multiply
   81,891x = 178,204.50 × 178,204.50
4. Step 4: Simplify right side
   81,891x = 31,756,843,820.25
5. Step 5: Solve for x
   x = 31,756,843,820.25/81,891
6. Step 6: Final answer
   x = 387,794.07