Finding the Third Proportional to 80,829 and 175,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,829 : 175,648.50 = 175,648.50 : x
2. Step 2: Convert to fraction form
   80,829/175,648.50 = 175,648.50/x
3. Step 3: Cross multiply
   80,829x = 175,648.50 × 175,648.50
4. Step 4: Simplify right side
   80,829x = 30,852,395,552.25
5. Step 5: Solve for x
   x = 30,852,395,552.25/80,829
6. Step 6: Final answer
   x = 381,699.58