Finding the Third Proportional to 92,206 and 142,404

Step by Step Solution

1. Step 1: Write the proportion equation
   92,206 : 142,404 = 142,404 : x
2. Step 2: Convert to fraction form
   92,206/142,404 = 142,404/x
3. Step 3: Cross multiply
   92,206x = 142,404 × 142,404
4. Step 4: Simplify right side
   92,206x = 20,278,899,216
5. Step 5: Solve for x
   x = 20,278,899,216/92,206
6. Step 6: Final answer
   x = 219,930.36