Finding the Third Proportional to 182,034 and 377,028

Step by Step Solution

1. Step 1: Write the proportion equation
   182,034 : 377,028 = 377,028 : x
2. Step 2: Convert to fraction form
   182,034/377,028 = 377,028/x
3. Step 3: Cross multiply
   182,034x = 377,028 × 377,028
4. Step 4: Simplify right side
   182,034x = 142,150,112,784
5. Step 5: Solve for x
   x = 142,150,112,784/182,034
6. Step 6: Final answer
   x = 780,898.69