Finding the Third Proportional to 260,518.50 and 389,682

Step by Step Solution

1. Step 1: Write the proportion equation
   260,518.50 : 389,682 = 389,682 : x
2. Step 2: Convert to fraction form
   260,518.50/389,682 = 389,682/x
3. Step 3: Cross multiply
   260,518.50x = 389,682 × 389,682
4. Step 4: Simplify right side
   260,518.50x = 151,852,061,124
5. Step 5: Solve for x
   x = 151,852,061,124/260,518.50
6. Step 6: Final answer
   x = 582,883.98