Finding the Third Proportional to 57,960 and 123,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,960 : 123,574.50 = 123,574.50 : x
2. Step 2: Convert to fraction form
   57,960/123,574.50 = 123,574.50/x
3. Step 3: Cross multiply
   57,960x = 123,574.50 × 123,574.50
4. Step 4: Simplify right side
   57,960x = 15,270,657,050.25
5. Step 5: Solve for x
   x = 15,270,657,050.25/57,960
6. Step 6: Final answer
   x = 263,468.89