Finding the Third Proportional to 131,613 and 187,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,613 : 187,575.50 = 187,575.50 : x
2. Step 2: Convert to fraction form
   131,613/187,575.50 = 187,575.50/x
3. Step 3: Cross multiply
   131,613x = 187,575.50 × 187,575.50
4. Step 4: Simplify right side
   131,613x = 35,184,568,200.25
5. Step 5: Solve for x
   x = 35,184,568,200.25/131,613
6. Step 6: Final answer
   x = 267,333.53