Finding the Third Proportional to 114,096 and 151,420

Step by Step Solution

1. Step 1: Write the proportion equation
   114,096 : 151,420 = 151,420 : x
2. Step 2: Convert to fraction form
   114,096/151,420 = 151,420/x
3. Step 3: Cross multiply
   114,096x = 151,420 × 151,420
4. Step 4: Simplify right side
   114,096x = 22,928,016,400
5. Step 5: Solve for x
   x = 22,928,016,400/114,096
6. Step 6: Final answer
   x = 200,953.73