Finding the Third Proportional to 629.16 and 744.89

Step by Step Solution

1. Step 1: Write the proportion equation
   629.16 : 744.89 = 744.89 : x
2. Step 2: Convert to fraction form
   629.16/744.89 = 744.89/x
3. Step 3: Cross multiply
   629.16x = 744.89 × 744.89
4. Step 4: Simplify right side
   629.16x = 554,862.04
5. Step 5: Solve for x
   x = 554,862.04/629.16
6. Step 6: Final answer
   x = 881.91