Finding the Third Proportional to 91,928 and 137,892

Step by Step Solution

1. Step 1: Write the proportion equation
   91,928 : 137,892 = 137,892 : x
2. Step 2: Convert to fraction form
   91,928/137,892 = 137,892/x
3. Step 3: Cross multiply
   91,928x = 137,892 × 137,892
4. Step 4: Simplify right side
   91,928x = 19,014,203,664
5. Step 5: Solve for x
   x = 19,014,203,664/91,928
6. Step 6: Final answer
   x = 206,838