Finding the Third Proportional to 1,066.31 and 1,181.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.31 : 1,181.06 = 1,181.06 : x
2. Step 2: Convert to fraction form
   1,066.31/1,181.06 = 1,181.06/x
3. Step 3: Cross multiply
   1,066.31x = 1,181.06 × 1,181.06
4. Step 4: Simplify right side
   1,066.31x = 1,394,908.63
5. Step 5: Solve for x
   x = 1,394,908.63/1,066.31
6. Step 6: Final answer
   x = 1,308.16