Finding the Third Proportional to 105,268 and 152,374

Step by Step Solution

1. Step 1: Write the proportion equation
   105,268 : 152,374 = 152,374 : x
2. Step 2: Convert to fraction form
   105,268/152,374 = 152,374/x
3. Step 3: Cross multiply
   105,268x = 152,374 × 152,374
4. Step 4: Simplify right side
   105,268x = 23,217,835,876
5. Step 5: Solve for x
   x = 23,217,835,876/105,268
6. Step 6: Final answer
   x = 220,559.30