Finding the Third Proportional to 487 and 1,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   487 : 1,058.50 = 1,058.50 : x
2. Step 2: Convert to fraction form
   487/1,058.50 = 1,058.50/x
3. Step 3: Cross multiply
   487x = 1,058.50 × 1,058.50
4. Step 4: Simplify right side
   487x = 1,120,422.25
5. Step 5: Solve for x
   x = 1,120,422.25/487
6. Step 6: Final answer
   x = 2,300.66