Finding the Third Proportional to 368,503 and 781,290

Step by Step Solution

1. Step 1: Write the proportion equation
   368,503 : 781,290 = 781,290 : x
2. Step 2: Convert to fraction form
   368,503/781,290 = 781,290/x
3. Step 3: Cross multiply
   368,503x = 781,290 × 781,290
4. Step 4: Simplify right side
   368,503x = 610,414,064,100
5. Step 5: Solve for x
   x = 610,414,064,100/368,503
6. Step 6: Final answer
   x = 1,656,469.73