Finding the Third Proportional to 89,926 and 192,972

Step by Step Solution

1. Step 1: Write the proportion equation
   89,926 : 192,972 = 192,972 : x
2. Step 2: Convert to fraction form
   89,926/192,972 = 192,972/x
3. Step 3: Cross multiply
   89,926x = 192,972 × 192,972
4. Step 4: Simplify right side
   89,926x = 37,238,192,784
5. Step 5: Solve for x
   x = 37,238,192,784/89,926
6. Step 6: Final answer
   x = 414,098.18