Finding the Third Proportional to 51,838 and 111,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,838 : 111,645.50 = 111,645.50 : x
2. Step 2: Convert to fraction form
   51,838/111,645.50 = 111,645.50/x
3. Step 3: Cross multiply
   51,838x = 111,645.50 × 111,645.50
4. Step 4: Simplify right side
   51,838x = 12,464,717,670.25
5. Step 5: Solve for x
   x = 12,464,717,670.25/51,838
6. Step 6: Final answer
   x = 240,455.22