Finding the Third Proportional to 91,792 and 140,326

Step by Step Solution

1. Step 1: Write the proportion equation
   91,792 : 140,326 = 140,326 : x
2. Step 2: Convert to fraction form
   91,792/140,326 = 140,326/x
3. Step 3: Cross multiply
   91,792x = 140,326 × 140,326
4. Step 4: Simplify right side
   91,792x = 19,691,386,276
5. Step 5: Solve for x
   x = 19,691,386,276/91,792
6. Step 6: Final answer
   x = 214,521.81