Finding the Third Proportional to 362,612 and 509,736

Step by Step Solution

1. Step 1: Write the proportion equation
   362,612 : 509,736 = 509,736 : x
2. Step 2: Convert to fraction form
   362,612/509,736 = 509,736/x
3. Step 3: Cross multiply
   362,612x = 509,736 × 509,736
4. Step 4: Simplify right side
   362,612x = 259,830,789,696
5. Step 5: Solve for x
   x = 259,830,789,696/362,612
6. Step 6: Final answer
   x = 716,553.20