Finding the Third Proportional to 59,975.50 and 128,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,975.50 : 128,255.50 = 128,255.50 : x
2. Step 2: Convert to fraction form
   59,975.50/128,255.50 = 128,255.50/x
3. Step 3: Cross multiply
   59,975.50x = 128,255.50 × 128,255.50
4. Step 4: Simplify right side
   59,975.50x = 16,449,473,280.25
5. Step 5: Solve for x
   x = 16,449,473,280.25/59,975.50
6. Step 6: Final answer
   x = 274,269.88