Finding the Third Proportional to 128,090 and 205,801

Step by Step Solution

1. Step 1: Write the proportion equation
   128,090 : 205,801 = 205,801 : x
2. Step 2: Convert to fraction form
   128,090/205,801 = 205,801/x
3. Step 3: Cross multiply
   128,090x = 205,801 × 205,801
4. Step 4: Simplify right side
   128,090x = 42,354,051,601
5. Step 5: Solve for x
   x = 42,354,051,601/128,090
6. Step 6: Final answer
   x = 330,658.53