Finding the Third Proportional to 82,938 and 181,428

Step by Step Solution

1. Step 1: Write the proportion equation
   82,938 : 181,428 = 181,428 : x
2. Step 2: Convert to fraction form
   82,938/181,428 = 181,428/x
3. Step 3: Cross multiply
   82,938x = 181,428 × 181,428
4. Step 4: Simplify right side
   82,938x = 32,916,119,184
5. Step 5: Solve for x
   x = 32,916,119,184/82,938
6. Step 6: Final answer
   x = 396,876.21