Finding the Third Proportional to 40,804 and 85,704

Step by Step Solution

1. Step 1: Write the proportion equation
   40,804 : 85,704 = 85,704 : x
2. Step 2: Convert to fraction form
   40,804/85,704 = 85,704/x
3. Step 3: Cross multiply
   40,804x = 85,704 × 85,704
4. Step 4: Simplify right side
   40,804x = 7,345,175,616
5. Step 5: Solve for x
   x = 7,345,175,616/40,804
6. Step 6: Final answer
   x = 180,011.17