Finding the Third Proportional to 109,933 and 174,215

Step by Step Solution

1. Step 1: Write the proportion equation
   109,933 : 174,215 = 174,215 : x
2. Step 2: Convert to fraction form
   109,933/174,215 = 174,215/x
3. Step 3: Cross multiply
   109,933x = 174,215 × 174,215
4. Step 4: Simplify right side
   109,933x = 30,350,866,225
5. Step 5: Solve for x
   x = 30,350,866,225/109,933
6. Step 6: Final answer
   x = 276,085.13