Finding the Third Proportional to 80,842.50 and 174,591

Step by Step Solution

1. Step 1: Write the proportion equation
   80,842.50 : 174,591 = 174,591 : x
2. Step 2: Convert to fraction form
   80,842.50/174,591 = 174,591/x
3. Step 3: Cross multiply
   80,842.50x = 174,591 × 174,591
4. Step 4: Simplify right side
   80,842.50x = 30,482,017,281
5. Step 5: Solve for x
   x = 30,482,017,281/80,842.50
6. Step 6: Final answer
   x = 377,054.36