Finding the Third Proportional to 260,706 and 389,895

Step by Step Solution

1. Step 1: Write the proportion equation
   260,706 : 389,895 = 389,895 : x
2. Step 2: Convert to fraction form
   260,706/389,895 = 389,895/x
3. Step 3: Cross multiply
   260,706x = 389,895 × 389,895
4. Step 4: Simplify right side
   260,706x = 152,018,111,025
5. Step 5: Solve for x
   x = 152,018,111,025/260,706
6. Step 6: Final answer
   x = 583,101.70