Finding the Third Proportional to 1,070.30 and 1,181.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,070.30 : 1,181.67 = 1,181.67 : x
2. Step 2: Convert to fraction form
   1,070.30/1,181.67 = 1,181.67/x
3. Step 3: Cross multiply
   1,070.30x = 1,181.67 × 1,181.67
4. Step 4: Simplify right side
   1,070.30x = 1,396,348.42
5. Step 5: Solve for x
   x = 1,396,348.42/1,070.30
6. Step 6: Final answer
   x = 1,304.64