Finding the Third Proportional to 81,533 and 178,010

Step by Step Solution

1. Step 1: Write the proportion equation
   81,533 : 178,010 = 178,010 : x
2. Step 2: Convert to fraction form
   81,533/178,010 = 178,010/x
3. Step 3: Cross multiply
   81,533x = 178,010 × 178,010
4. Step 4: Simplify right side
   81,533x = 31,687,560,100
5. Step 5: Solve for x
   x = 31,687,560,100/81,533
6. Step 6: Final answer
   x = 388,647.05