Finding the Third Proportional to 51,782 and 111,116

Step by Step Solution

1. Step 1: Write the proportion equation
   51,782 : 111,116 = 111,116 : x
2. Step 2: Convert to fraction form
   51,782/111,116 = 111,116/x
3. Step 3: Cross multiply
   51,782x = 111,116 × 111,116
4. Step 4: Simplify right side
   51,782x = 12,346,765,456
5. Step 5: Solve for x
   x = 12,346,765,456/51,782
6. Step 6: Final answer
   x = 238,437.40