Finding the Third Proportional to 181,596 and 384,819

Step by Step Solution

1. Step 1: Write the proportion equation
   181,596 : 384,819 = 384,819 : x
2. Step 2: Convert to fraction form
   181,596/384,819 = 384,819/x
3. Step 3: Cross multiply
   181,596x = 384,819 × 384,819
4. Step 4: Simplify right side
   181,596x = 148,085,662,761
5. Step 5: Solve for x
   x = 148,085,662,761/181,596
6. Step 6: Final answer
   x = 815,467.65