Finding the Third Proportional to 814.78 and 1,095.05

Step by Step Solution

1. Step 1: Write the proportion equation
   814.78 : 1,095.05 = 1,095.05 : x
2. Step 2: Convert to fraction form
   814.78/1,095.05 = 1,095.05/x
3. Step 3: Cross multiply
   814.78x = 1,095.05 × 1,095.05
4. Step 4: Simplify right side
   814.78x = 1,199,127.66
5. Step 5: Solve for x
   x = 1,199,127.66/814.78
6. Step 6: Final answer
   x = 1,471.72