Finding the Third Proportional to 53,810 and 109,808

Step by Step Solution

1. Step 1: Write the proportion equation
   53,810 : 109,808 = 109,808 : x
2. Step 2: Convert to fraction form
   53,810/109,808 = 109,808/x
3. Step 3: Cross multiply
   53,810x = 109,808 × 109,808
4. Step 4: Simplify right side
   53,810x = 12,057,796,864
5. Step 5: Solve for x
   x = 12,057,796,864/53,810
6. Step 6: Final answer
   x = 224,080.97