Finding the Third Proportional to 128,769 and 204,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,769 : 204,897.50 = 204,897.50 : x
2. Step 2: Convert to fraction form
   128,769/204,897.50 = 204,897.50/x
3. Step 3: Cross multiply
   128,769x = 204,897.50 × 204,897.50
4. Step 4: Simplify right side
   128,769x = 41,982,985,506.25
5. Step 5: Solve for x
   x = 41,982,985,506.25/128,769
6. Step 6: Final answer
   x = 326,033.33