Finding the Third Proportional to 80,388 and 174,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,388 : 174,610.50 = 174,610.50 : x
2. Step 2: Convert to fraction form
   80,388/174,610.50 = 174,610.50/x
3. Step 3: Cross multiply
   80,388x = 174,610.50 × 174,610.50
4. Step 4: Simplify right side
   80,388x = 30,488,826,710.25
5. Step 5: Solve for x
   x = 30,488,826,710.25/80,388
6. Step 6: Final answer
   x = 379,270.87