Finding the Third Proportional to 52,005 and 111,790

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 111,790 = 111,790 : x
2. Step 2: Convert to fraction form
   52,005/111,790 = 111,790/x
3. Step 3: Cross multiply
   52,005x = 111,790 × 111,790
4. Step 4: Simplify right side
   52,005x = 12,497,004,100
5. Step 5: Solve for x
   x = 12,497,004,100/52,005
6. Step 6: Final answer
   x = 240,303.90