Finding the Third Proportional to 47,853 and 111,769

Step by Step Solution

1. Step 1: Write the proportion equation
   47,853 : 111,769 = 111,769 : x
2. Step 2: Convert to fraction form
   47,853/111,769 = 111,769/x
3. Step 3: Cross multiply
   47,853x = 111,769 × 111,769
4. Step 4: Simplify right side
   47,853x = 12,492,309,361
5. Step 5: Solve for x
   x = 12,492,309,361/47,853
6. Step 6: Final answer
   x = 261,055.93