Finding the Third Proportional to 91,946 and 140,593

Step by Step Solution

1. Step 1: Write the proportion equation
   91,946 : 140,593 = 140,593 : x
2. Step 2: Convert to fraction form
   91,946/140,593 = 140,593/x
3. Step 3: Cross multiply
   91,946x = 140,593 × 140,593
4. Step 4: Simplify right side
   91,946x = 19,766,391,649
5. Step 5: Solve for x
   x = 19,766,391,649/91,946
6. Step 6: Final answer
   x = 214,978.27