Finding the Third Proportional to 360,336 and 765,116

Step by Step Solution

1. Step 1: Write the proportion equation
   360,336 : 765,116 = 765,116 : x
2. Step 2: Convert to fraction form
   360,336/765,116 = 765,116/x
3. Step 3: Cross multiply
   360,336x = 765,116 × 765,116
4. Step 4: Simplify right side
   360,336x = 585,402,493,456
5. Step 5: Solve for x
   x = 585,402,493,456/360,336
6. Step 6: Final answer
   x = 1,624,601.74