Finding the Third Proportional to 105,427 and 154,413

Step by Step Solution

1. Step 1: Write the proportion equation
   105,427 : 154,413 = 154,413 : x
2. Step 2: Convert to fraction form
   105,427/154,413 = 154,413/x
3. Step 3: Cross multiply
   105,427x = 154,413 × 154,413
4. Step 4: Simplify right side
   105,427x = 23,843,374,569
5. Step 5: Solve for x
   x = 23,843,374,569/105,427
6. Step 6: Final answer
   x = 226,160.04