Finding the Third Proportional to 359,852 and 769,532

Step by Step Solution

1. Step 1: Write the proportion equation
   359,852 : 769,532 = 769,532 : x
2. Step 2: Convert to fraction form
   359,852/769,532 = 769,532/x
3. Step 3: Cross multiply
   359,852x = 769,532 × 769,532
4. Step 4: Simplify right side
   359,852x = 592,179,499,024
5. Step 5: Solve for x
   x = 592,179,499,024/359,852
6. Step 6: Final answer
   x = 1,645,619.59