Finding the Third Proportional to 52,155 and 111,694

Step by Step Solution

1. Step 1: Write the proportion equation
   52,155 : 111,694 = 111,694 : x
2. Step 2: Convert to fraction form
   52,155/111,694 = 111,694/x
3. Step 3: Cross multiply
   52,155x = 111,694 × 111,694
4. Step 4: Simplify right side
   52,155x = 12,475,549,636
5. Step 5: Solve for x
   x = 12,475,549,636/52,155
6. Step 6: Final answer
   x = 239,201.41