Finding the Third Proportional to 109,688 and 227,998

Step by Step Solution

1. Step 1: Write the proportion equation
   109,688 : 227,998 = 227,998 : x
2. Step 2: Convert to fraction form
   109,688/227,998 = 227,998/x
3. Step 3: Cross multiply
   109,688x = 227,998 × 227,998
4. Step 4: Simplify right side
   109,688x = 51,983,088,004
5. Step 5: Solve for x
   x = 51,983,088,004/109,688
6. Step 6: Final answer
   x = 473,917.73