Finding the Third Proportional to 59,778 and 123,444

Step by Step Solution

1. Step 1: Write the proportion equation
   59,778 : 123,444 = 123,444 : x
2. Step 2: Convert to fraction form
   59,778/123,444 = 123,444/x
3. Step 3: Cross multiply
   59,778x = 123,444 × 123,444
4. Step 4: Simplify right side
   59,778x = 15,238,421,136
5. Step 5: Solve for x
   x = 15,238,421,136/59,778
6. Step 6: Final answer
   x = 254,916.88