Finding the Third Proportional to 890 and 1,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   890 : 1,190.50 = 1,190.50 : x
2. Step 2: Convert to fraction form
   890/1,190.50 = 1,190.50/x
3. Step 3: Cross multiply
   890x = 1,190.50 × 1,190.50
4. Step 4: Simplify right side
   890x = 1,417,290.25
5. Step 5: Solve for x
   x = 1,417,290.25/890
6. Step 6: Final answer
   x = 1,592.46