Finding the Third Proportional to 51,435 and 109,188

Step by Step Solution

1. Step 1: Write the proportion equation
   51,435 : 109,188 = 109,188 : x
2. Step 2: Convert to fraction form
   51,435/109,188 = 109,188/x
3. Step 3: Cross multiply
   51,435x = 109,188 × 109,188
4. Step 4: Simplify right side
   51,435x = 11,922,019,344
5. Step 5: Solve for x
   x = 11,922,019,344/51,435
6. Step 6: Final answer
   x = 231,788.07