Finding the Third Proportional to 140,890.50 and 191,895.75

Step by Step Solution

1. Step 1: Write the proportion equation
   140,890.50 : 191,895.75 = 191,895.75 : x
2. Step 2: Convert to fraction form
   140,890.50/191,895.75 = 191,895.75/x
3. Step 3: Cross multiply
   140,890.50x = 191,895.75 × 191,895.75
4. Step 4: Simplify right side
   140,890.50x = 36,823,978,868.06
5. Step 5: Solve for x
   x = 36,823,978,868.06/140,890.50
6. Step 6: Final answer
   x = 261,365.95