Finding the Third Proportional to 107,338 and 141,189

Step by Step Solution

1. Step 1: Write the proportion equation
   107,338 : 141,189 = 141,189 : x
2. Step 2: Convert to fraction form
   107,338/141,189 = 141,189/x
3. Step 3: Cross multiply
   107,338x = 141,189 × 141,189
4. Step 4: Simplify right side
   107,338x = 19,934,333,721
5. Step 5: Solve for x
   x = 19,934,333,721/107,338
6. Step 6: Final answer
   x = 185,715.53