Finding the Third Proportional to 181,583 and 385,012

Step by Step Solution

1. Step 1: Write the proportion equation
   181,583 : 385,012 = 385,012 : x
2. Step 2: Convert to fraction form
   181,583/385,012 = 385,012/x
3. Step 3: Cross multiply
   181,583x = 385,012 × 385,012
4. Step 4: Simplify right side
   181,583x = 148,234,240,144
5. Step 5: Solve for x
   x = 148,234,240,144/181,583
6. Step 6: Final answer
   x = 816,344.26