Finding the Third Proportional to 131,629 and 188,098.75

Step by Step Solution

1. Step 1: Write the proportion equation
   131,629 : 188,098.75 = 188,098.75 : x
2. Step 2: Convert to fraction form
   131,629/188,098.75 = 188,098.75/x
3. Step 3: Cross multiply
   131,629x = 188,098.75 × 188,098.75
4. Step 4: Simplify right side
   131,629x = 35,381,139,751.56
5. Step 5: Solve for x
   x = 35,381,139,751.56/131,629
6. Step 6: Final answer
   x = 268,794.41