Finding the Third Proportional to 88,137 and 192,962

Step by Step Solution

1. Step 1: Write the proportion equation
   88,137 : 192,962 = 192,962 : x
2. Step 2: Convert to fraction form
   88,137/192,962 = 192,962/x
3. Step 3: Cross multiply
   88,137x = 192,962 × 192,962
4. Step 4: Simplify right side
   88,137x = 37,234,333,444
5. Step 5: Solve for x
   x = 37,234,333,444/88,137
6. Step 6: Final answer
   x = 422,459.73