Finding the Third Proportional to 79,382 and 105,828

Step by Step Solution

1. Step 1: Write the proportion equation
   79,382 : 105,828 = 105,828 : x
2. Step 2: Convert to fraction form
   79,382/105,828 = 105,828/x
3. Step 3: Cross multiply
   79,382x = 105,828 × 105,828
4. Step 4: Simplify right side
   79,382x = 11,199,565,584
5. Step 5: Solve for x
   x = 11,199,565,584/79,382
6. Step 6: Final answer
   x = 141,084.45