Finding the Third Proportional to 42,338 and 91,972

Step by Step Solution

1. Step 1: Write the proportion equation
   42,338 : 91,972 = 91,972 : x
2. Step 2: Convert to fraction form
   42,338/91,972 = 91,972/x
3. Step 3: Cross multiply
   42,338x = 91,972 × 91,972
4. Step 4: Simplify right side
   42,338x = 8,458,848,784
5. Step 5: Solve for x
   x = 8,458,848,784/42,338
6. Step 6: Final answer
   x = 199,793.30