Finding the Third Proportional to 82,897 and 181,346

Step by Step Solution

1. Step 1: Write the proportion equation
   82,897 : 181,346 = 181,346 : x
2. Step 2: Convert to fraction form
   82,897/181,346 = 181,346/x
3. Step 3: Cross multiply
   82,897x = 181,346 × 181,346
4. Step 4: Simplify right side
   82,897x = 32,886,371,716
5. Step 5: Solve for x
   x = 32,886,371,716/82,897
6. Step 6: Final answer
   x = 396,713.65