Finding the Third Proportional to 181,853 and 388,978

Step by Step Solution

1. Step 1: Write the proportion equation
   181,853 : 388,978 = 388,978 : x
2. Step 2: Convert to fraction form
   181,853/388,978 = 388,978/x
3. Step 3: Cross multiply
   181,853x = 388,978 × 388,978
4. Step 4: Simplify right side
   181,853x = 151,303,884,484
5. Step 5: Solve for x
   x = 151,303,884,484/181,853
6. Step 6: Final answer
   x = 832,012.03