Finding the Third Proportional to 680.91 and 1,142.86

Step by Step Solution

1. Step 1: Write the proportion equation
   680.91 : 1,142.86 = 1,142.86 : x
2. Step 2: Convert to fraction form
   680.91/1,142.86 = 1,142.86/x
3. Step 3: Cross multiply
   680.91x = 1,142.86 × 1,142.86
4. Step 4: Simplify right side
   680.91x = 1,306,127.55
5. Step 5: Solve for x
   x = 1,306,127.55/680.91
6. Step 6: Final answer
   x = 1,918.22