Finding the Third Proportional to 102,072 and 150,084

Step by Step Solution

1. Step 1: Write the proportion equation
   102,072 : 150,084 = 150,084 : x
2. Step 2: Convert to fraction form
   102,072/150,084 = 150,084/x
3. Step 3: Cross multiply
   102,072x = 150,084 × 150,084
4. Step 4: Simplify right side
   102,072x = 22,525,207,056
5. Step 5: Solve for x
   x = 22,525,207,056/102,072
6. Step 6: Final answer
   x = 220,679.59