Finding the Third Proportional to 781.25 and 1,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   781.25 : 1,185.25 = 1,185.25 : x
2. Step 2: Convert to fraction form
   781.25/1,185.25 = 1,185.25/x
3. Step 3: Cross multiply
   781.25x = 1,185.25 × 1,185.25
4. Step 4: Simplify right side
   781.25x = 1,404,817.56
5. Step 5: Solve for x
   x = 1,404,817.56/781.25
6. Step 6: Final answer
   x = 1,798.17