Finding the Third Proportional to 199,818 and 259,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,818 : 259,537.50 = 259,537.50 : x
2. Step 2: Convert to fraction form
   199,818/259,537.50 = 259,537.50/x
3. Step 3: Cross multiply
   199,818x = 259,537.50 × 259,537.50
4. Step 4: Simplify right side
   199,818x = 67,359,713,906.25
5. Step 5: Solve for x
   x = 67,359,713,906.25/199,818
6. Step 6: Final answer
   x = 337,105.34