Finding the Third Proportional to 80,549 and 174,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,549 : 174,372.50 = 174,372.50 : x
2. Step 2: Convert to fraction form
   80,549/174,372.50 = 174,372.50/x
3. Step 3: Cross multiply
   80,549x = 174,372.50 × 174,372.50
4. Step 4: Simplify right side
   80,549x = 30,405,768,756.25
5. Step 5: Solve for x
   x = 30,405,768,756.25/80,549
6. Step 6: Final answer
   x = 377,481.64