Finding the Third Proportional to 83,412 and 181,512

Step by Step Solution

1. Step 1: Write the proportion equation
   83,412 : 181,512 = 181,512 : x
2. Step 2: Convert to fraction form
   83,412/181,512 = 181,512/x
3. Step 3: Cross multiply
   83,412x = 181,512 × 181,512
4. Step 4: Simplify right side
   83,412x = 32,946,606,144
5. Step 5: Solve for x
   x = 32,946,606,144/83,412
6. Step 6: Final answer
   x = 394,986.41