Finding the Third Proportional to 817,728 and 1,267,776

Step by Step Solution

1. Step 1: Write the proportion equation
   817,728 : 1,267,776 = 1,267,776 : x
2. Step 2: Convert to fraction form
   817,728/1,267,776 = 1,267,776/x
3. Step 3: Cross multiply
   817,728x = 1,267,776 × 1,267,776
4. Step 4: Simplify right side
   817,728x = 1,607,255,986,176
5. Step 5: Solve for x
   x = 1,607,255,986,176/817,728
6. Step 6: Final answer
   x = 1,965,514.19