Finding the Third Proportional to 853.88 and 1,146.56

Step by Step Solution

1. Step 1: Write the proportion equation
   853.88 : 1,146.56 = 1,146.56 : x
2. Step 2: Convert to fraction form
   853.88/1,146.56 = 1,146.56/x
3. Step 3: Cross multiply
   853.88x = 1,146.56 × 1,146.56
4. Step 4: Simplify right side
   853.88x = 1,314,605.57
5. Step 5: Solve for x
   x = 1,314,605.57/853.88
6. Step 6: Final answer
   x = 1,539.58