Finding the Third Proportional to 331,349 and 510,054

Step by Step Solution

1. Step 1: Write the proportion equation
   331,349 : 510,054 = 510,054 : x
2. Step 2: Convert to fraction form
   331,349/510,054 = 510,054/x
3. Step 3: Cross multiply
   331,349x = 510,054 × 510,054
4. Step 4: Simplify right side
   331,349x = 260,155,082,916
5. Step 5: Solve for x
   x = 260,155,082,916/331,349
6. Step 6: Final answer
   x = 785,139.18