Finding the Third Proportional to 331,074 and 512,537.63

Step by Step Solution

1. Step 1: Write the proportion equation
   331,074 : 512,537.63 = 512,537.63 : x
2. Step 2: Convert to fraction form
   331,074/512,537.63 = 512,537.63/x
3. Step 3: Cross multiply
   331,074x = 512,537.63 × 512,537.63
4. Step 4: Simplify right side
   331,074x = 262,694,817,040.64
5. Step 5: Solve for x
   x = 262,694,817,040.64/331,074
6. Step 6: Final answer
   x = 793,462.54