Finding the Third Proportional to 858.38 and 1,164.94

Step by Step Solution

1. Step 1: Write the proportion equation
   858.38 : 1,164.94 = 1,164.94 : x
2. Step 2: Convert to fraction form
   858.38/1,164.94 = 1,164.94/x
3. Step 3: Cross multiply
   858.38x = 1,164.94 × 1,164.94
4. Step 4: Simplify right side
   858.38x = 1,357,079.38
5. Step 5: Solve for x
   x = 1,357,079.38/858.38
6. Step 6: Final answer
   x = 1,580.99