Finding the Third Proportional to 59,601 and 127,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,601 : 127,855.50 = 127,855.50 : x
2. Step 2: Convert to fraction form
   59,601/127,855.50 = 127,855.50/x
3. Step 3: Cross multiply
   59,601x = 127,855.50 × 127,855.50
4. Step 4: Simplify right side
   59,601x = 16,347,028,880.25
5. Step 5: Solve for x
   x = 16,347,028,880.25/59,601
6. Step 6: Final answer
   x = 274,274.41