Finding the Third Proportional to 79,644.25 and 173,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,644.25 : 173,777.50 = 173,777.50 : x
2. Step 2: Convert to fraction form
   79,644.25/173,777.50 = 173,777.50/x
3. Step 3: Cross multiply
   79,644.25x = 173,777.50 × 173,777.50
4. Step 4: Simplify right side
   79,644.25x = 30,198,619,506.25
5. Step 5: Solve for x
   x = 30,198,619,506.25/79,644.25
6. Step 6: Final answer
   x = 379,168.86