Finding the Third Proportional to 181,570 and 388,066

Step by Step Solution

1. Step 1: Write the proportion equation
   181,570 : 388,066 = 388,066 : x
2. Step 2: Convert to fraction form
   181,570/388,066 = 388,066/x
3. Step 3: Cross multiply
   181,570x = 388,066 × 388,066
4. Step 4: Simplify right side
   181,570x = 150,595,220,356
5. Step 5: Solve for x
   x = 150,595,220,356/181,570
6. Step 6: Final answer
   x = 829,405.85