Finding the Third Proportional to 128,204 and 199,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,204 : 199,025.25 = 199,025.25 : x
2. Step 2: Convert to fraction form
   128,204/199,025.25 = 199,025.25/x
3. Step 3: Cross multiply
   128,204x = 199,025.25 × 199,025.25
4. Step 4: Simplify right side
   128,204x = 39,611,050,137.56
5. Step 5: Solve for x
   x = 39,611,050,137.56/128,204
6. Step 6: Final answer
   x = 308,968.91