Finding the Third Proportional to 83,823.75 and 182,711.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,823.75 : 182,711.25 = 182,711.25 : x
2. Step 2: Convert to fraction form
   83,823.75/182,711.25 = 182,711.25/x
3. Step 3: Cross multiply
   83,823.75x = 182,711.25 × 182,711.25
4. Step 4: Simplify right side
   83,823.75x = 33,383,400,876.56
5. Step 5: Solve for x
   x = 33,383,400,876.56/83,823.75
6. Step 6: Final answer
   x = 398,257.07