Finding the Third Proportional to 58,770 and 123,588

Step by Step Solution

1. Step 1: Write the proportion equation
   58,770 : 123,588 = 123,588 : x
2. Step 2: Convert to fraction form
   58,770/123,588 = 123,588/x
3. Step 3: Cross multiply
   58,770x = 123,588 × 123,588
4. Step 4: Simplify right side
   58,770x = 15,273,993,744
5. Step 5: Solve for x
   x = 15,273,993,744/58,770
6. Step 6: Final answer
   x = 259,894.40