Finding the Third Proportional to 389,097 and 714,258

Step by Step Solution

1. Step 1: Write the proportion equation
   389,097 : 714,258 = 714,258 : x
2. Step 2: Convert to fraction form
   389,097/714,258 = 714,258/x
3. Step 3: Cross multiply
   389,097x = 714,258 × 714,258
4. Step 4: Simplify right side
   389,097x = 510,164,490,564
5. Step 5: Solve for x
   x = 510,164,490,564/389,097
6. Step 6: Final answer
   x = 1,311,149.89