Finding the Third Proportional to 102,680 and 150,462

Step by Step Solution

1. Step 1: Write the proportion equation
   102,680 : 150,462 = 150,462 : x
2. Step 2: Convert to fraction form
   102,680/150,462 = 150,462/x
3. Step 3: Cross multiply
   102,680x = 150,462 × 150,462
4. Step 4: Simplify right side
   102,680x = 22,638,813,444
5. Step 5: Solve for x
   x = 22,638,813,444/102,680
6. Step 6: Final answer
   x = 220,479.29