Finding the Third Proportional to 133,659 and 188,055

Step by Step Solution

1. Step 1: Write the proportion equation
   133,659 : 188,055 = 188,055 : x
2. Step 2: Convert to fraction form
   133,659/188,055 = 188,055/x
3. Step 3: Cross multiply
   133,659x = 188,055 × 188,055
4. Step 4: Simplify right side
   133,659x = 35,364,683,025
5. Step 5: Solve for x
   x = 35,364,683,025/133,659
6. Step 6: Final answer
   x = 264,588.86