Finding the Third Proportional to 1,178.25 and 1,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.25 : 1,259.25 = 1,259.25 : x
2. Step 2: Convert to fraction form
   1,178.25/1,259.25 = 1,259.25/x
3. Step 3: Cross multiply
   1,178.25x = 1,259.25 × 1,259.25
4. Step 4: Simplify right side
   1,178.25x = 1,585,710.56
5. Step 5: Solve for x
   x = 1,585,710.56/1,178.25
6. Step 6: Final answer
   x = 1,345.82