Finding the Third Proportional to 53,898 and 109,254

Step by Step Solution

1. Step 1: Write the proportion equation
   53,898 : 109,254 = 109,254 : x
2. Step 2: Convert to fraction form
   53,898/109,254 = 109,254/x
3. Step 3: Cross multiply
   53,898x = 109,254 × 109,254
4. Step 4: Simplify right side
   53,898x = 11,936,436,516
5. Step 5: Solve for x
   x = 11,936,436,516/53,898
6. Step 6: Final answer
   x = 221,463.44