Finding the Third Proportional to 58,774 and 123,594

Step by Step Solution

1. Step 1: Write the proportion equation
   58,774 : 123,594 = 123,594 : x
2. Step 2: Convert to fraction form
   58,774/123,594 = 123,594/x
3. Step 3: Cross multiply
   58,774x = 123,594 × 123,594
4. Step 4: Simplify right side
   58,774x = 15,275,476,836
5. Step 5: Solve for x
   x = 15,275,476,836/58,774
6. Step 6: Final answer
   x = 259,901.94