Finding the Third Proportional to 114,663 and 173,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,663 : 173,728.50 = 173,728.50 : x
2. Step 2: Convert to fraction form
   114,663/173,728.50 = 173,728.50/x
3. Step 3: Cross multiply
   114,663x = 173,728.50 × 173,728.50
4. Step 4: Simplify right side
   114,663x = 30,181,591,712.25
5. Step 5: Solve for x
   x = 30,181,591,712.25/114,663
6. Step 6: Final answer
   x = 263,219.97