Finding the Third Proportional to 133,096 and 200,185

Step by Step Solution

1. Step 1: Write the proportion equation
   133,096 : 200,185 = 200,185 : x
2. Step 2: Convert to fraction form
   133,096/200,185 = 200,185/x
3. Step 3: Cross multiply
   133,096x = 200,185 × 200,185
4. Step 4: Simplify right side
   133,096x = 40,074,034,225
5. Step 5: Solve for x
   x = 40,074,034,225/133,096
6. Step 6: Final answer
   x = 301,091.20