Finding the Third Proportional to 165,210 and 362,082

Step by Step Solution

1. Step 1: Write the proportion equation
   165,210 : 362,082 = 362,082 : x
2. Step 2: Convert to fraction form
   165,210/362,082 = 362,082/x
3. Step 3: Cross multiply
   165,210x = 362,082 × 362,082
4. Step 4: Simplify right side
   165,210x = 131,103,374,724
5. Step 5: Solve for x
   x = 131,103,374,724/165,210
6. Step 6: Final answer
   x = 793,555.93