Finding the Third Proportional to 183,606 and 389,082

Step by Step Solution

1. Step 1: Write the proportion equation
   183,606 : 389,082 = 389,082 : x
2. Step 2: Convert to fraction form
   183,606/389,082 = 389,082/x
3. Step 3: Cross multiply
   183,606x = 389,082 × 389,082
4. Step 4: Simplify right side
   183,606x = 151,384,802,724
5. Step 5: Solve for x
   x = 151,384,802,724/183,606
6. Step 6: Final answer
   x = 824,509.02