Finding the Third Proportional to 53,822 and 109,834

Step by Step Solution

1. Step 1: Write the proportion equation
   53,822 : 109,834 = 109,834 : x
2. Step 2: Convert to fraction form
   53,822/109,834 = 109,834/x
3. Step 3: Cross multiply
   53,822x = 109,834 × 109,834
4. Step 4: Simplify right side
   53,822x = 12,063,507,556
5. Step 5: Solve for x
   x = 12,063,507,556/53,822
6. Step 6: Final answer
   x = 224,137.11