Finding the Third Proportional to 47,188 and 111,236

Step by Step Solution

1. Step 1: Write the proportion equation
   47,188 : 111,236 = 111,236 : x
2. Step 2: Convert to fraction form
   47,188/111,236 = 111,236/x
3. Step 3: Cross multiply
   47,188x = 111,236 × 111,236
4. Step 4: Simplify right side
   47,188x = 12,373,447,696
5. Step 5: Solve for x
   x = 12,373,447,696/47,188
6. Step 6: Final answer
   x = 262,215.98