Finding the Third Proportional to 59,794 and 123,475

Step by Step Solution

1. Step 1: Write the proportion equation
   59,794 : 123,475 = 123,475 : x
2. Step 2: Convert to fraction form
   59,794/123,475 = 123,475/x
3. Step 3: Cross multiply
   59,794x = 123,475 × 123,475
4. Step 4: Simplify right side
   59,794x = 15,246,075,625
5. Step 5: Solve for x
   x = 15,246,075,625/59,794
6. Step 6: Final answer
   x = 254,976.68