Finding the Third Proportional to 83,106 and 181,791

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 181,791 = 181,791 : x
2. Step 2: Convert to fraction form
   83,106/181,791 = 181,791/x
3. Step 3: Cross multiply
   83,106x = 181,791 × 181,791
4. Step 4: Simplify right side
   83,106x = 33,047,967,681
5. Step 5: Solve for x
   x = 33,047,967,681/83,106
6. Step 6: Final answer
   x = 397,660.43