Finding the Third Proportional to 83,760 and 182,316

Step by Step Solution

1. Step 1: Write the proportion equation
   83,760 : 182,316 = 182,316 : x
2. Step 2: Convert to fraction form
   83,760/182,316 = 182,316/x
3. Step 3: Cross multiply
   83,760x = 182,316 × 182,316
4. Step 4: Simplify right side
   83,760x = 33,239,123,856
5. Step 5: Solve for x
   x = 33,239,123,856/83,760
6. Step 6: Final answer
   x = 396,837.68