Finding the Third Proportional to 105,236 and 152,324

Step by Step Solution

1. Step 1: Write the proportion equation
   105,236 : 152,324 = 152,324 : x
2. Step 2: Convert to fraction form
   105,236/152,324 = 152,324/x
3. Step 3: Cross multiply
   105,236x = 152,324 × 152,324
4. Step 4: Simplify right side
   105,236x = 23,202,600,976
5. Step 5: Solve for x
   x = 23,202,600,976/105,236
6. Step 6: Final answer
   x = 220,481.59