Finding the Third Proportional to 51,154 and 109,413

Step by Step Solution

1. Step 1: Write the proportion equation
   51,154 : 109,413 = 109,413 : x
2. Step 2: Convert to fraction form
   51,154/109,413 = 109,413/x
3. Step 3: Cross multiply
   51,154x = 109,413 × 109,413
4. Step 4: Simplify right side
   51,154x = 11,971,204,569
5. Step 5: Solve for x
   x = 11,971,204,569/51,154
6. Step 6: Final answer
   x = 234,022.84