Finding the Third Proportional to 83,147 and 182,392

Step by Step Solution

1. Step 1: Write the proportion equation
   83,147 : 182,392 = 182,392 : x
2. Step 2: Convert to fraction form
   83,147/182,392 = 182,392/x
3. Step 3: Cross multiply
   83,147x = 182,392 × 182,392
4. Step 4: Simplify right side
   83,147x = 33,266,841,664
5. Step 5: Solve for x
   x = 33,266,841,664/83,147
6. Step 6: Final answer
   x = 400,096.72