Finding the Third Proportional to 51,690 and 111,633

Step by Step Solution

1. Step 1: Write the proportion equation
   51,690 : 111,633 = 111,633 : x
2. Step 2: Convert to fraction form
   51,690/111,633 = 111,633/x
3. Step 3: Cross multiply
   51,690x = 111,633 × 111,633
4. Step 4: Simplify right side
   51,690x = 12,461,926,689
5. Step 5: Solve for x
   x = 12,461,926,689/51,690
6. Step 6: Final answer
   x = 241,089.70