Finding the Third Proportional to 109,282.50 and 173,770

Step by Step Solution

1. Step 1: Write the proportion equation
   109,282.50 : 173,770 = 173,770 : x
2. Step 2: Convert to fraction form
   109,282.50/173,770 = 173,770/x
3. Step 3: Cross multiply
   109,282.50x = 173,770 × 173,770
4. Step 4: Simplify right side
   109,282.50x = 30,196,012,900
5. Step 5: Solve for x
   x = 30,196,012,900/109,282.50
6. Step 6: Final answer
   x = 276,311.51