Finding the Third Proportional to 49,585 and 108,998

Step by Step Solution

1. Step 1: Write the proportion equation
   49,585 : 108,998 = 108,998 : x
2. Step 2: Convert to fraction form
   49,585/108,998 = 108,998/x
3. Step 3: Cross multiply
   49,585x = 108,998 × 108,998
4. Step 4: Simplify right side
   49,585x = 11,880,564,004
5. Step 5: Solve for x
   x = 11,880,564,004/49,585
6. Step 6: Final answer
   x = 239,599.96