Finding the Third Proportional to 59,480 and 123,894

Step by Step Solution

1. Step 1: Write the proportion equation
   59,480 : 123,894 = 123,894 : x
2. Step 2: Convert to fraction form
   59,480/123,894 = 123,894/x
3. Step 3: Cross multiply
   59,480x = 123,894 × 123,894
4. Step 4: Simplify right side
   59,480x = 15,349,723,236
5. Step 5: Solve for x
   x = 15,349,723,236/59,480
6. Step 6: Final answer
   x = 258,065.29