Finding the Third Proportional to 359,538 and 781,830

Step by Step Solution

1. Step 1: Write the proportion equation
   359,538 : 781,830 = 781,830 : x
2. Step 2: Convert to fraction form
   359,538/781,830 = 781,830/x
3. Step 3: Cross multiply
   359,538x = 781,830 × 781,830
4. Step 4: Simplify right side
   359,538x = 611,258,148,900
5. Step 5: Solve for x
   x = 611,258,148,900/359,538
6. Step 6: Final answer
   x = 1,700,121.12