Finding the Third Proportional to 51,170 and 109,448

Step by Step Solution

1. Step 1: Write the proportion equation
   51,170 : 109,448 = 109,448 : x
2. Step 2: Convert to fraction form
   51,170/109,448 = 109,448/x
3. Step 3: Cross multiply
   51,170x = 109,448 × 109,448
4. Step 4: Simplify right side
   51,170x = 11,978,864,704
5. Step 5: Solve for x
   x = 11,978,864,704/51,170
6. Step 6: Final answer
   x = 234,099.37