Finding the Third Proportional to 128,822 and 204,429

Step by Step Solution

1. Step 1: Write the proportion equation
   128,822 : 204,429 = 204,429 : x
2. Step 2: Convert to fraction form
   128,822/204,429 = 204,429/x
3. Step 3: Cross multiply
   128,822x = 204,429 × 204,429
4. Step 4: Simplify right side
   128,822x = 41,791,216,041
5. Step 5: Solve for x
   x = 41,791,216,041/128,822
6. Step 6: Final answer
   x = 324,410.55