Finding the Third Proportional to 72,290 and 152,356

Step by Step Solution

1. Step 1: Write the proportion equation
   72,290 : 152,356 = 152,356 : x
2. Step 2: Convert to fraction form
   72,290/152,356 = 152,356/x
3. Step 3: Cross multiply
   72,290x = 152,356 × 152,356
4. Step 4: Simplify right side
   72,290x = 23,212,350,736
5. Step 5: Solve for x
   x = 23,212,350,736/72,290
6. Step 6: Final answer
   x = 321,100.44