Finding the Third Proportional to 89,856 and 140,946

Step by Step Solution

1. Step 1: Write the proportion equation
   89,856 : 140,946 = 140,946 : x
2. Step 2: Convert to fraction form
   89,856/140,946 = 140,946/x
3. Step 3: Cross multiply
   89,856x = 140,946 × 140,946
4. Step 4: Simplify right side
   89,856x = 19,865,774,916
5. Step 5: Solve for x
   x = 19,865,774,916/89,856
6. Step 6: Final answer
   x = 221,084.57