Finding the Third Proportional to 53,536 and 113,100

Step by Step Solution

1. Step 1: Write the proportion equation
   53,536 : 113,100 = 113,100 : x
2. Step 2: Convert to fraction form
   53,536/113,100 = 113,100/x
3. Step 3: Cross multiply
   53,536x = 113,100 × 113,100
4. Step 4: Simplify right side
   53,536x = 12,791,610,000
5. Step 5: Solve for x
   x = 12,791,610,000/53,536
6. Step 6: Final answer
   x = 238,934.74