Finding the Third Proportional to 51,232 and 111,806

Step by Step Solution

1. Step 1: Write the proportion equation
   51,232 : 111,806 = 111,806 : x
2. Step 2: Convert to fraction form
   51,232/111,806 = 111,806/x
3. Step 3: Cross multiply
   51,232x = 111,806 × 111,806
4. Step 4: Simplify right side
   51,232x = 12,500,581,636
5. Step 5: Solve for x
   x = 12,500,581,636/51,232
6. Step 6: Final answer
   x = 243,999.49