Finding the Third Proportional to 182,328 and 383,082

Step by Step Solution

1. Step 1: Write the proportion equation
   182,328 : 383,082 = 383,082 : x
2. Step 2: Convert to fraction form
   182,328/383,082 = 383,082/x
3. Step 3: Cross multiply
   182,328x = 383,082 × 383,082
4. Step 4: Simplify right side
   182,328x = 146,751,818,724
5. Step 5: Solve for x
   x = 146,751,818,724/182,328
6. Step 6: Final answer
   x = 804,878.12