Finding the Third Proportional to 333,795 and 512,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,795 : 512,356.50 = 512,356.50 : x
2. Step 2: Convert to fraction form
   333,795/512,356.50 = 512,356.50/x
3. Step 3: Cross multiply
   333,795x = 512,356.50 × 512,356.50
4. Step 4: Simplify right side
   333,795x = 262,509,183,092.25
5. Step 5: Solve for x
   x = 262,509,183,092.25/333,795
6. Step 6: Final answer
   x = 786,438.33