Finding the Third Proportional to 131,814 and 199,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,814 : 199,570.50 = 199,570.50 : x
2. Step 2: Convert to fraction form
   131,814/199,570.50 = 199,570.50/x
3. Step 3: Cross multiply
   131,814x = 199,570.50 × 199,570.50
4. Step 4: Simplify right side
   131,814x = 39,828,384,470.25
5. Step 5: Solve for x
   x = 39,828,384,470.25/131,814
6. Step 6: Final answer
   x = 302,155.95