Finding the Third Proportional to 360,813 and 783,111

Step by Step Solution

1. Step 1: Write the proportion equation
   360,813 : 783,111 = 783,111 : x
2. Step 2: Convert to fraction form
   360,813/783,111 = 783,111/x
3. Step 3: Cross multiply
   360,813x = 783,111 × 783,111
4. Step 4: Simplify right side
   360,813x = 613,262,838,321
5. Step 5: Solve for x
   x = 613,262,838,321/360,813
6. Step 6: Final answer
   x = 1,699,669.46