Finding the Third Proportional to 45,927 and 109,998

Step by Step Solution

1. Step 1: Write the proportion equation
   45,927 : 109,998 = 109,998 : x
2. Step 2: Convert to fraction form
   45,927/109,998 = 109,998/x
3. Step 3: Cross multiply
   45,927x = 109,998 × 109,998
4. Step 4: Simplify right side
   45,927x = 12,099,560,004
5. Step 5: Solve for x
   x = 12,099,560,004/45,927
6. Step 6: Final answer
   x = 263,452