Finding the Third Proportional to 362,696 and 509,850

Step by Step Solution

1. Step 1: Write the proportion equation
   362,696 : 509,850 = 509,850 : x
2. Step 2: Convert to fraction form
   362,696/509,850 = 509,850/x
3. Step 3: Cross multiply
   362,696x = 509,850 × 509,850
4. Step 4: Simplify right side
   362,696x = 259,947,022,500
5. Step 5: Solve for x
   x = 259,947,022,500/362,696
6. Step 6: Final answer
   x = 716,707.72