Finding the Third Proportional to 1,021.78 and 1,246.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.78 : 1,246.22 = 1,246.22 : x
2. Step 2: Convert to fraction form
   1,021.78/1,246.22 = 1,246.22/x
3. Step 3: Cross multiply
   1,021.78x = 1,246.22 × 1,246.22
4. Step 4: Simplify right side
   1,021.78x = 1,553,061.17
5. Step 5: Solve for x
   x = 1,553,061.17/1,021.78
6. Step 6: Final answer
   x = 1,519.95