Finding the Third Proportional to 80,835 and 175,659

Step by Step Solution

1. Step 1: Write the proportion equation
   80,835 : 175,659 = 175,659 : x
2. Step 2: Convert to fraction form
   80,835/175,659 = 175,659/x
3. Step 3: Cross multiply
   80,835x = 175,659 × 175,659
4. Step 4: Simplify right side
   80,835x = 30,856,084,281
5. Step 5: Solve for x
   x = 30,856,084,281/80,835
6. Step 6: Final answer
   x = 381,716.88