Finding the Third Proportional to 53,606 and 113,215

Step by Step Solution

1. Step 1: Write the proportion equation
   53,606 : 113,215 = 113,215 : x
2. Step 2: Convert to fraction form
   53,606/113,215 = 113,215/x
3. Step 3: Cross multiply
   53,606x = 113,215 × 113,215
4. Step 4: Simplify right side
   53,606x = 12,817,636,225
5. Step 5: Solve for x
   x = 12,817,636,225/53,606
6. Step 6: Final answer
   x = 239,108.24