Finding the Third Proportional to 47,967 and 112,036

Step by Step Solution

1. Step 1: Write the proportion equation
   47,967 : 112,036 = 112,036 : x
2. Step 2: Convert to fraction form
   47,967/112,036 = 112,036/x
3. Step 3: Cross multiply
   47,967x = 112,036 × 112,036
4. Step 4: Simplify right side
   47,967x = 12,552,065,296
5. Step 5: Solve for x
   x = 12,552,065,296/47,967
6. Step 6: Final answer
   x = 261,681.27