Finding the Third Proportional to 812,538 and 1,257,507

Step by Step Solution

1. Step 1: Write the proportion equation
   812,538 : 1,257,507 = 1,257,507 : x
2. Step 2: Convert to fraction form
   812,538/1,257,507 = 1,257,507/x
3. Step 3: Cross multiply
   812,538x = 1,257,507 × 1,257,507
4. Step 4: Simplify right side
   812,538x = 1,581,323,855,049
5. Step 5: Solve for x
   x = 1,581,323,855,049/812,538
6. Step 6: Final answer
   x = 1,946,153.72