Finding the Third Proportional to 682.31 and 914.06

Step by Step Solution

1. Step 1: Write the proportion equation
   682.31 : 914.06 = 914.06 : x
2. Step 2: Convert to fraction form
   682.31/914.06 = 914.06/x
3. Step 3: Cross multiply
   682.31x = 914.06 × 914.06
4. Step 4: Simplify right side
   682.31x = 835,510.25
5. Step 5: Solve for x
   x = 835,510.25/682.31
6. Step 6: Final answer
   x = 1,224.53