Finding the Third Proportional to 133,082 and 205,131

Step by Step Solution

1. Step 1: Write the proportion equation
   133,082 : 205,131 = 205,131 : x
2. Step 2: Convert to fraction form
   133,082/205,131 = 205,131/x
3. Step 3: Cross multiply
   133,082x = 205,131 × 205,131
4. Step 4: Simplify right side
   133,082x = 42,078,727,161
5. Step 5: Solve for x
   x = 42,078,727,161/133,082
6. Step 6: Final answer
   x = 316,186.47