Finding the Third Proportional to 47,826 and 111,141

Step by Step Solution

1. Step 1: Write the proportion equation
   47,826 : 111,141 = 111,141 : x
2. Step 2: Convert to fraction form
   47,826/111,141 = 111,141/x
3. Step 3: Cross multiply
   47,826x = 111,141 × 111,141
4. Step 4: Simplify right side
   47,826x = 12,352,321,881
5. Step 5: Solve for x
   x = 12,352,321,881/47,826
6. Step 6: Final answer
   x = 258,276.29