Finding the Third Proportional to 81,280 and 174,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,280 : 174,544.50 = 174,544.50 : x
2. Step 2: Convert to fraction form
   81,280/174,544.50 = 174,544.50/x
3. Step 3: Cross multiply
   81,280x = 174,544.50 × 174,544.50
4. Step 4: Simplify right side
   81,280x = 30,465,782,480.25
5. Step 5: Solve for x
   x = 30,465,782,480.25/81,280
6. Step 6: Final answer
   x = 374,825.08