Finding the Third Proportional to 109,291.50 and 173,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,291.50 : 173,785.50 = 173,785.50 : x
2. Step 2: Convert to fraction form
   109,291.50/173,785.50 = 173,785.50/x
3. Step 3: Cross multiply
   109,291.50x = 173,785.50 × 173,785.50
4. Step 4: Simplify right side
   109,291.50x = 30,201,400,010.25
5. Step 5: Solve for x
   x = 30,201,400,010.25/109,291.50
6. Step 6: Final answer
   x = 276,338.05