Finding the Third Proportional to 82,276 and 181,672

Step by Step Solution

1. Step 1: Write the proportion equation
   82,276 : 181,672 = 181,672 : x
2. Step 2: Convert to fraction form
   82,276/181,672 = 181,672/x
3. Step 3: Cross multiply
   82,276x = 181,672 × 181,672
4. Step 4: Simplify right side
   82,276x = 33,004,715,584
5. Step 5: Solve for x
   x = 33,004,715,584/82,276
6. Step 6: Final answer
   x = 401,146.33