Finding the Third Proportional to 500,096.25 and 714,626.63

Step by Step Solution

1. Step 1: Write the proportion equation
   500,096.25 : 714,626.63 = 714,626.63 : x
2. Step 2: Convert to fraction form
   500,096.25/714,626.63 = 714,626.63/x
3. Step 3: Cross multiply
   500,096.25x = 714,626.63 × 714,626.63
4. Step 4: Simplify right side
   500,096.25x = 510,691,213,158.89
5. Step 5: Solve for x
   x = 510,691,213,158.89/500,096.25
6. Step 6: Final answer
   x = 1,021,185.85