Finding the Third Proportional to 82,788.75 and 175,439.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,788.75 : 175,439.25 = 175,439.25 : x
2. Step 2: Convert to fraction form
   82,788.75/175,439.25 = 175,439.25/x
3. Step 3: Cross multiply
   82,788.75x = 175,439.25 × 175,439.25
4. Step 4: Simplify right side
   82,788.75x = 30,778,930,440.56
5. Step 5: Solve for x
   x = 30,778,930,440.56/82,788.75
6. Step 6: Final answer
   x = 371,776.73