Finding the Third Proportional to 51,188 and 111,832

Step by Step Solution

1. Step 1: Write the proportion equation
   51,188 : 111,832 = 111,832 : x
2. Step 2: Convert to fraction form
   51,188/111,832 = 111,832/x
3. Step 3: Cross multiply
   51,188x = 111,832 × 111,832
4. Step 4: Simplify right side
   51,188x = 12,506,396,224
5. Step 5: Solve for x
   x = 12,506,396,224/51,188
6. Step 6: Final answer
   x = 244,322.81