Finding the Third Proportional to 53,156 and 109,660

Step by Step Solution

1. Step 1: Write the proportion equation
   53,156 : 109,660 = 109,660 : x
2. Step 2: Convert to fraction form
   53,156/109,660 = 109,660/x
3. Step 3: Cross multiply
   53,156x = 109,660 × 109,660
4. Step 4: Simplify right side
   53,156x = 12,025,315,600
5. Step 5: Solve for x
   x = 12,025,315,600/53,156
6. Step 6: Final answer
   x = 226,226.87