Finding the Third Proportional to 469.88 and 1,017.38

Step by Step Solution

1. Step 1: Write the proportion equation
   469.88 : 1,017.38 = 1,017.38 : x
2. Step 2: Convert to fraction form
   469.88/1,017.38 = 1,017.38/x
3. Step 3: Cross multiply
   469.88x = 1,017.38 × 1,017.38
4. Step 4: Simplify right side
   469.88x = 1,035,051.89
5. Step 5: Solve for x
   x = 1,035,051.89/469.88
6. Step 6: Final answer
   x = 2,202.82