Finding the Third Proportional to 53,564 and 113,160

Step by Step Solution

1. Step 1: Write the proportion equation
   53,564 : 113,160 = 113,160 : x
2. Step 2: Convert to fraction form
   53,564/113,160 = 113,160/x
3. Step 3: Cross multiply
   53,564x = 113,160 × 113,160
4. Step 4: Simplify right side
   53,564x = 12,805,185,600
5. Step 5: Solve for x
   x = 12,805,185,600/53,564
6. Step 6: Final answer
   x = 239,063.28