Finding the Third Proportional to 70,198 and 111,588

Step by Step Solution

1. Step 1: Write the proportion equation
   70,198 : 111,588 = 111,588 : x
2. Step 2: Convert to fraction form
   70,198/111,588 = 111,588/x
3. Step 3: Cross multiply
   70,198x = 111,588 × 111,588
4. Step 4: Simplify right side
   70,198x = 12,451,881,744
5. Step 5: Solve for x
   x = 12,451,881,744/70,198
6. Step 6: Final answer
   x = 177,382.29