Finding the Third Proportional to 78,198 and 111,417

Step by Step Solution

1. Step 1: Write the proportion equation
   78,198 : 111,417 = 111,417 : x
2. Step 2: Convert to fraction form
   78,198/111,417 = 111,417/x
3. Step 3: Cross multiply
   78,198x = 111,417 × 111,417
4. Step 4: Simplify right side
   78,198x = 12,413,747,889
5. Step 5: Solve for x
   x = 12,413,747,889/78,198
6. Step 6: Final answer
   x = 158,747.64