Finding the Third Proportional to 469.86 and 1,029.43

Step by Step Solution

1. Step 1: Write the proportion equation
   469.86 : 1,029.43 = 1,029.43 : x
2. Step 2: Convert to fraction form
   469.86/1,029.43 = 1,029.43/x
3. Step 3: Cross multiply
   469.86x = 1,029.43 × 1,029.43
4. Step 4: Simplify right side
   469.86x = 1,059,721.46
5. Step 5: Solve for x
   x = 1,059,721.46/469.86
6. Step 6: Final answer
   x = 2,255.38