Finding the Third Proportional to 469.31 and 1,022.06

Step by Step Solution

1. Step 1: Write the proportion equation
   469.31 : 1,022.06 = 1,022.06 : x
2. Step 2: Convert to fraction form
   469.31/1,022.06 = 1,022.06/x
3. Step 3: Cross multiply
   469.31x = 1,022.06 × 1,022.06
4. Step 4: Simplify right side
   469.31x = 1,044,611.75
5. Step 5: Solve for x
   x = 1,044,611.75/469.31
6. Step 6: Final answer
   x = 2,225.83