Finding the Third Proportional to 53,158 and 109,772

Step by Step Solution

1. Step 1: Write the proportion equation
   53,158 : 109,772 = 109,772 : x
2. Step 2: Convert to fraction form
   53,158/109,772 = 109,772/x
3. Step 3: Cross multiply
   53,158x = 109,772 × 109,772
4. Step 4: Simplify right side
   53,158x = 12,049,891,984
5. Step 5: Solve for x
   x = 12,049,891,984/53,158
6. Step 6: Final answer
   x = 226,680.69