Finding the Third Proportional to 91,878 and 140,526

Step by Step Solution

1. Step 1: Write the proportion equation
   91,878 : 140,526 = 140,526 : x
2. Step 2: Convert to fraction form
   91,878/140,526 = 140,526/x
3. Step 3: Cross multiply
   91,878x = 140,526 × 140,526
4. Step 4: Simplify right side
   91,878x = 19,747,556,676
5. Step 5: Solve for x
   x = 19,747,556,676/91,878
6. Step 6: Final answer
   x = 214,932.37