Finding the Third Proportional to 81,887 and 173,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,887 : 173,615.50 = 173,615.50 : x
2. Step 2: Convert to fraction form
   81,887/173,615.50 = 173,615.50/x
3. Step 3: Cross multiply
   81,887x = 173,615.50 × 173,615.50
4. Step 4: Simplify right side
   81,887x = 30,142,341,840.25
5. Step 5: Solve for x
   x = 30,142,341,840.25/81,887
6. Step 6: Final answer
   x = 368,096.79