Finding the Third Proportional to 185,298 and 377,136

Step by Step Solution

1. Step 1: Write the proportion equation
   185,298 : 377,136 = 377,136 : x
2. Step 2: Convert to fraction form
   185,298/377,136 = 377,136/x
3. Step 3: Cross multiply
   185,298x = 377,136 × 377,136
4. Step 4: Simplify right side
   185,298x = 142,231,562,496
5. Step 5: Solve for x
   x = 142,231,562,496/185,298
6. Step 6: Final answer
   x = 767,582.83