Finding the Third Proportional to 354,924 and 536,082

Step by Step Solution

1. Step 1: Write the proportion equation
   354,924 : 536,082 = 536,082 : x
2. Step 2: Convert to fraction form
   354,924/536,082 = 536,082/x
3. Step 3: Cross multiply
   354,924x = 536,082 × 536,082
4. Step 4: Simplify right side
   354,924x = 287,383,910,724
5. Step 5: Solve for x
   x = 287,383,910,724/354,924
6. Step 6: Final answer
   x = 809,705.49