Finding the Third Proportional to 131,697 and 188,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,697 : 188,206.50 = 188,206.50 : x
2. Step 2: Convert to fraction form
   131,697/188,206.50 = 188,206.50/x
3. Step 3: Cross multiply
   131,697x = 188,206.50 × 188,206.50
4. Step 4: Simplify right side
   131,697x = 35,421,686,642.25
5. Step 5: Solve for x
   x = 35,421,686,642.25/131,697
6. Step 6: Final answer
   x = 268,963.50