Finding the Third Proportional to 365,002 and 780,444

Step by Step Solution

1. Step 1: Write the proportion equation
   365,002 : 780,444 = 780,444 : x
2. Step 2: Convert to fraction form
   365,002/780,444 = 780,444/x
3. Step 3: Cross multiply
   365,002x = 780,444 × 780,444
4. Step 4: Simplify right side
   365,002x = 609,092,837,136
5. Step 5: Solve for x
   x = 609,092,837,136/365,002
6. Step 6: Final answer
   x = 1,668,738.36