Finding the Third Proportional to 359,842 and 769,507

Step by Step Solution

1. Step 1: Write the proportion equation
   359,842 : 769,507 = 769,507 : x
2. Step 2: Convert to fraction form
   359,842/769,507 = 769,507/x
3. Step 3: Cross multiply
   359,842x = 769,507 × 769,507
4. Step 4: Simplify right side
   359,842x = 592,141,023,049
5. Step 5: Solve for x
   x = 592,141,023,049/359,842
6. Step 6: Final answer
   x = 1,645,558.39