Finding the Third Proportional to 52,096 and 114,200

Step by Step Solution

1. Step 1: Write the proportion equation
   52,096 : 114,200 = 114,200 : x
2. Step 2: Convert to fraction form
   52,096/114,200 = 114,200/x
3. Step 3: Cross multiply
   52,096x = 114,200 × 114,200
4. Step 4: Simplify right side
   52,096x = 13,041,640,000
5. Step 5: Solve for x
   x = 13,041,640,000/52,096
6. Step 6: Final answer
   x = 250,338.61