Finding the Third Proportional to 92,198 and 142,391

Step by Step Solution

1. Step 1: Write the proportion equation
   92,198 : 142,391 = 142,391 : x
2. Step 2: Convert to fraction form
   92,198/142,391 = 142,391/x
3. Step 3: Cross multiply
   92,198x = 142,391 × 142,391
4. Step 4: Simplify right side
   92,198x = 20,275,196,881
5. Step 5: Solve for x
   x = 20,275,196,881/92,198
6. Step 6: Final answer
   x = 219,909.29