Finding the Third Proportional to 133,569 and 188,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,569 : 188,689.50 = 188,689.50 : x
2. Step 2: Convert to fraction form
   133,569/188,689.50 = 188,689.50/x
3. Step 3: Cross multiply
   133,569x = 188,689.50 × 188,689.50
4. Step 4: Simplify right side
   133,569x = 35,603,727,410.25
5. Step 5: Solve for x
   x = 35,603,727,410.25/133,569
6. Step 6: Final answer
   x = 266,556.82