Finding the Third Proportional to 1,190.63 and 2,259.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.63 : 2,259.75 = 2,259.75 : x
2. Step 2: Convert to fraction form
   1,190.63/2,259.75 = 2,259.75/x
3. Step 3: Cross multiply
   1,190.63x = 2,259.75 × 2,259.75
4. Step 4: Simplify right side
   1,190.63x = 5,106,470.06
5. Step 5: Solve for x
   x = 5,106,470.06/1,190.63
6. Step 6: Final answer
   x = 4,288.90