Finding the Third Proportional to 80,573 and 175,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,573 : 175,483.50 = 175,483.50 : x
2. Step 2: Convert to fraction form
   80,573/175,483.50 = 175,483.50/x
3. Step 3: Cross multiply
   80,573x = 175,483.50 × 175,483.50
4. Step 4: Simplify right side
   80,573x = 30,794,458,772.25
5. Step 5: Solve for x
   x = 30,794,458,772.25/80,573
6. Step 6: Final answer
   x = 382,193.28