Finding the Third Proportional to 105,275 and 152,383

Step by Step Solution

1. Step 1: Write the proportion equation
   105,275 : 152,383 = 152,383 : x
2. Step 2: Convert to fraction form
   105,275/152,383 = 152,383/x
3. Step 3: Cross multiply
   105,275x = 152,383 × 152,383
4. Step 4: Simplify right side
   105,275x = 23,220,578,689
5. Step 5: Solve for x
   x = 23,220,578,689/105,275
6. Step 6: Final answer
   x = 220,570.68