Finding the Third Proportional to 83,145 and 181,842

Step by Step Solution

1. Step 1: Write the proportion equation
   83,145 : 181,842 = 181,842 : x
2. Step 2: Convert to fraction form
   83,145/181,842 = 181,842/x
3. Step 3: Cross multiply
   83,145x = 181,842 × 181,842
4. Step 4: Simplify right side
   83,145x = 33,066,512,964
5. Step 5: Solve for x
   x = 33,066,512,964/83,145
6. Step 6: Final answer
   x = 397,696.95