Finding the Third Proportional to 82,900 and 181,352

Step by Step Solution

1. Step 1: Write the proportion equation
   82,900 : 181,352 = 181,352 : x
2. Step 2: Convert to fraction form
   82,900/181,352 = 181,352/x
3. Step 3: Cross multiply
   82,900x = 181,352 × 181,352
4. Step 4: Simplify right side
   82,900x = 32,888,547,904
5. Step 5: Solve for x
   x = 32,888,547,904/82,900
6. Step 6: Final answer
   x = 396,725.55