Finding the Third Proportional to 72,202 and 150,182

Step by Step Solution

1. Step 1: Write the proportion equation
   72,202 : 150,182 = 150,182 : x
2. Step 2: Convert to fraction form
   72,202/150,182 = 150,182/x
3. Step 3: Cross multiply
   72,202x = 150,182 × 150,182
4. Step 4: Simplify right side
   72,202x = 22,554,633,124
5. Step 5: Solve for x
   x = 22,554,633,124/72,202
6. Step 6: Final answer
   x = 312,382.39