Finding the Third Proportional to 53,236 and 113,614

Step by Step Solution

1. Step 1: Write the proportion equation
   53,236 : 113,614 = 113,614 : x
2. Step 2: Convert to fraction form
   53,236/113,614 = 113,614/x
3. Step 3: Cross multiply
   53,236x = 113,614 × 113,614
4. Step 4: Simplify right side
   53,236x = 12,908,140,996
5. Step 5: Solve for x
   x = 12,908,140,996/53,236
6. Step 6: Final answer
   x = 242,470.15