Finding the Third Proportional to 102,128 and 147,096

Step by Step Solution

1. Step 1: Write the proportion equation
   102,128 : 147,096 = 147,096 : x
2. Step 2: Convert to fraction form
   102,128/147,096 = 147,096/x
3. Step 3: Cross multiply
   102,128x = 147,096 × 147,096
4. Step 4: Simplify right side
   102,128x = 21,637,233,216
5. Step 5: Solve for x
   x = 21,637,233,216/102,128
6. Step 6: Final answer
   x = 211,863.87