Finding the Third Proportional to 91,902 and 140,556

Step by Step Solution

1. Step 1: Write the proportion equation
   91,902 : 140,556 = 140,556 : x
2. Step 2: Convert to fraction form
   91,902/140,556 = 140,556/x
3. Step 3: Cross multiply
   91,902x = 140,556 × 140,556
4. Step 4: Simplify right side
   91,902x = 19,755,989,136
5. Step 5: Solve for x
   x = 19,755,989,136/91,902
6. Step 6: Final answer
   x = 214,968