Finding the Third Proportional to 181,564 and 388,072

Step by Step Solution

1. Step 1: Write the proportion equation
   181,564 : 388,072 = 388,072 : x
2. Step 2: Convert to fraction form
   181,564/388,072 = 388,072/x
3. Step 3: Cross multiply
   181,564x = 388,072 × 388,072
4. Step 4: Simplify right side
   181,564x = 150,599,877,184
5. Step 5: Solve for x
   x = 150,599,877,184/181,564
6. Step 6: Final answer
   x = 829,458.91