Finding the Third Proportional to 85,741 and 188,082

Step by Step Solution

1. Step 1: Write the proportion equation
   85,741 : 188,082 = 188,082 : x
2. Step 2: Convert to fraction form
   85,741/188,082 = 188,082/x
3. Step 3: Cross multiply
   85,741x = 188,082 × 188,082
4. Step 4: Simplify right side
   85,741x = 35,374,838,724
5. Step 5: Solve for x
   x = 35,374,838,724/85,741
6. Step 6: Final answer
   x = 412,577.87