Finding the Third Proportional to 423.56 and 914.06

Step by Step Solution

1. Step 1: Write the proportion equation
   423.56 : 914.06 = 914.06 : x
2. Step 2: Convert to fraction form
   423.56/914.06 = 914.06/x
3. Step 3: Cross multiply
   423.56x = 914.06 × 914.06
4. Step 4: Simplify right side
   423.56x = 835,510.25
5. Step 5: Solve for x
   x = 835,510.25/423.56
6. Step 6: Final answer
   x = 1,972.58