Finding the Third Proportional to 51,702 and 111,658

Step by Step Solution

1. Step 1: Write the proportion equation
   51,702 : 111,658 = 111,658 : x
2. Step 2: Convert to fraction form
   51,702/111,658 = 111,658/x
3. Step 3: Cross multiply
   51,702x = 111,658 × 111,658
4. Step 4: Simplify right side
   51,702x = 12,467,508,964
5. Step 5: Solve for x
   x = 12,467,508,964/51,702
6. Step 6: Final answer
   x = 241,141.72