Finding the Third Proportional to 81,888 and 173,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,888 : 173,617.50 = 173,617.50 : x
2. Step 2: Convert to fraction form
   81,888/173,617.50 = 173,617.50/x
3. Step 3: Cross multiply
   81,888x = 173,617.50 × 173,617.50
4. Step 4: Simplify right side
   81,888x = 30,143,036,306.25
5. Step 5: Solve for x
   x = 30,143,036,306.25/81,888
6. Step 6: Final answer
   x = 368,100.78