Finding the Third Proportional to 80,978.50 and 174,259

Step by Step Solution

1. Step 1: Write the proportion equation
   80,978.50 : 174,259 = 174,259 : x
2. Step 2: Convert to fraction form
   80,978.50/174,259 = 174,259/x
3. Step 3: Cross multiply
   80,978.50x = 174,259 × 174,259
4. Step 4: Simplify right side
   80,978.50x = 30,366,199,081
5. Step 5: Solve for x
   x = 30,366,199,081/80,978.50
6. Step 6: Final answer
   x = 374,990.88