Finding the Third Proportional to 53,148 and 109,644

Step by Step Solution

1. Step 1: Write the proportion equation
   53,148 : 109,644 = 109,644 : x
2. Step 2: Convert to fraction form
   53,148/109,644 = 109,644/x
3. Step 3: Cross multiply
   53,148x = 109,644 × 109,644
4. Step 4: Simplify right side
   53,148x = 12,021,806,736
5. Step 5: Solve for x
   x = 12,021,806,736/53,148
6. Step 6: Final answer
   x = 226,194.90