Finding the Third Proportional to 509,436 and 785,538

Step by Step Solution

1. Step 1: Write the proportion equation
   509,436 : 785,538 = 785,538 : x
2. Step 2: Convert to fraction form
   509,436/785,538 = 785,538/x
3. Step 3: Cross multiply
   509,436x = 785,538 × 785,538
4. Step 4: Simplify right side
   509,436x = 617,069,949,444
5. Step 5: Solve for x
   x = 617,069,949,444/509,436
6. Step 6: Final answer
   x = 1,211,280.61