Finding the Third Proportional to 59,188.50 and 128,223

Step by Step Solution

1. Step 1: Write the proportion equation
   59,188.50 : 128,223 = 128,223 : x
2. Step 2: Convert to fraction form
   59,188.50/128,223 = 128,223/x
3. Step 3: Cross multiply
   59,188.50x = 128,223 × 128,223
4. Step 4: Simplify right side
   59,188.50x = 16,441,137,729
5. Step 5: Solve for x
   x = 16,441,137,729/59,188.50
6. Step 6: Final answer
   x = 277,775.88