Finding the Third Proportional to 375,462 and 777,537.56

Step by Step Solution

1. Step 1: Write the proportion equation
   375,462 : 777,537.56 = 777,537.56 : x
2. Step 2: Convert to fraction form
   375,462/777,537.56 = 777,537.56/x
3. Step 3: Cross multiply
   375,462x = 777,537.56 × 777,537.56
4. Step 4: Simplify right side
   375,462x = 604,564,661,098.44
5. Step 5: Solve for x
   x = 604,564,661,098.44/375,462
6. Step 6: Final answer
   x = 1,610,188.68