Finding the Third Proportional to 59,562 and 127,760.63

Step by Step Solution

1. Step 1: Write the proportion equation
   59,562 : 127,760.63 = 127,760.63 : x
2. Step 2: Convert to fraction form
   59,562/127,760.63 = 127,760.63/x
3. Step 3: Cross multiply
   59,562x = 127,760.63 × 127,760.63
4. Step 4: Simplify right side
   59,562x = 16,322,777,300.39
5. Step 5: Solve for x
   x = 16,322,777,300.39/59,562
6. Step 6: Final answer
   x = 274,046.83