Finding the Third Proportional to 109,287.50 and 173,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,287.50 : 173,777.25 = 173,777.25 : x
2. Step 2: Convert to fraction form
   109,287.50/173,777.25 = 173,777.25/x
3. Step 3: Cross multiply
   109,287.50x = 173,777.25 × 173,777.25
4. Step 4: Simplify right side
   109,287.50x = 30,198,532,617.56
5. Step 5: Solve for x
   x = 30,198,532,617.56/109,287.50
6. Step 6: Final answer
   x = 276,321.93