Finding the Third Proportional to 46,096 and 101,120

Step by Step Solution

1. Step 1: Write the proportion equation
   46,096 : 101,120 = 101,120 : x
2. Step 2: Convert to fraction form
   46,096/101,120 = 101,120/x
3. Step 3: Cross multiply
   46,096x = 101,120 × 101,120
4. Step 4: Simplify right side
   46,096x = 10,225,254,400
5. Step 5: Solve for x
   x = 10,225,254,400/46,096
6. Step 6: Final answer
   x = 221,825.20