Finding the Third Proportional to 80,525.25 and 174,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,525.25 : 174,899.25 = 174,899.25 : x
2. Step 2: Convert to fraction form
   80,525.25/174,899.25 = 174,899.25/x
3. Step 3: Cross multiply
   80,525.25x = 174,899.25 × 174,899.25
4. Step 4: Simplify right side
   80,525.25x = 30,589,747,650.56
5. Step 5: Solve for x
   x = 30,589,747,650.56/80,525.25
6. Step 6: Final answer
   x = 379,877.71