Finding the Third Proportional to 205,987 and 275,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,987 : 275,892.50 = 275,892.50 : x
2. Step 2: Convert to fraction form
   205,987/275,892.50 = 275,892.50/x
3. Step 3: Cross multiply
   205,987x = 275,892.50 × 275,892.50
4. Step 4: Simplify right side
   205,987x = 76,116,671,556.25
5. Step 5: Solve for x
   x = 76,116,671,556.25/205,987
6. Step 6: Final answer
   x = 369,521.72