Finding the Third Proportional to 59,538.50 and 128,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538.50 : 128,424.50 = 128,424.50 : x
2. Step 2: Convert to fraction form
   59,538.50/128,424.50 = 128,424.50/x
3. Step 3: Cross multiply
   59,538.50x = 128,424.50 × 128,424.50
4. Step 4: Simplify right side
   59,538.50x = 16,492,852,200.25
5. Step 5: Solve for x
   x = 16,492,852,200.25/59,538.50
6. Step 6: Final answer
   x = 277,011.55