Finding the Third Proportional to 179,494 and 377,444

Step by Step Solution

1. Step 1: Write the proportion equation
   179,494 : 377,444 = 377,444 : x
2. Step 2: Convert to fraction form
   179,494/377,444 = 377,444/x
3. Step 3: Cross multiply
   179,494x = 377,444 × 377,444
4. Step 4: Simplify right side
   179,494x = 142,463,973,136
5. Step 5: Solve for x
   x = 142,463,973,136/179,494
6. Step 6: Final answer
   x = 793,697.69