Finding the Third Proportional to 331,347 and 510,051

Step by Step Solution

1. Step 1: Write the proportion equation
   331,347 : 510,051 = 510,051 : x
2. Step 2: Convert to fraction form
   331,347/510,051 = 510,051/x
3. Step 3: Cross multiply
   331,347x = 510,051 × 510,051
4. Step 4: Simplify right side
   331,347x = 260,152,022,601
5. Step 5: Solve for x
   x = 260,152,022,601/331,347
6. Step 6: Final answer
   x = 785,134.69