Finding the Third Proportional to 81,729 and 178,155

Step by Step Solution

1. Step 1: Write the proportion equation
   81,729 : 178,155 = 178,155 : x
2. Step 2: Convert to fraction form
   81,729/178,155 = 178,155/x
3. Step 3: Cross multiply
   81,729x = 178,155 × 178,155
4. Step 4: Simplify right side
   81,729x = 31,739,204,025
5. Step 5: Solve for x
   x = 31,739,204,025/81,729
6. Step 6: Final answer
   x = 388,346.90