Finding the Third Proportional to 82,977.75 and 175,759.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,977.75 : 175,759.88 = 175,759.88 : x
2. Step 2: Convert to fraction form
   82,977.75/175,759.88 = 175,759.88/x
3. Step 3: Cross multiply
   82,977.75x = 175,759.88 × 175,759.88
4. Step 4: Simplify right side
   82,977.75x = 30,891,533,660.02
5. Step 5: Solve for x
   x = 30,891,533,660.02/82,977.75
6. Step 6: Final answer
   x = 372,286.95