Finding the Third Proportional to 82,196 and 128,424

Step by Step Solution

1. Step 1: Write the proportion equation
   82,196 : 128,424 = 128,424 : x
2. Step 2: Convert to fraction form
   82,196/128,424 = 128,424/x
3. Step 3: Cross multiply
   82,196x = 128,424 × 128,424
4. Step 4: Simplify right side
   82,196x = 16,492,723,776
5. Step 5: Solve for x
   x = 16,492,723,776/82,196
6. Step 6: Final answer
   x = 200,651.17