Finding the Third Proportional to 51,092 and 111,688

Step by Step Solution

1. Step 1: Write the proportion equation
   51,092 : 111,688 = 111,688 : x
2. Step 2: Convert to fraction form
   51,092/111,688 = 111,688/x
3. Step 3: Cross multiply
   51,092x = 111,688 × 111,688
4. Step 4: Simplify right side
   51,092x = 12,474,209,344
5. Step 5: Solve for x
   x = 12,474,209,344/51,092
6. Step 6: Final answer
   x = 244,151.91