Finding the Third Proportional to 145,336 and 320,012

Step by Step Solution

1. Step 1: Write the proportion equation
   145,336 : 320,012 = 320,012 : x
2. Step 2: Convert to fraction form
   145,336/320,012 = 320,012/x
3. Step 3: Cross multiply
   145,336x = 320,012 × 320,012
4. Step 4: Simplify right side
   145,336x = 102,407,680,144
5. Step 5: Solve for x
   x = 102,407,680,144/145,336
6. Step 6: Final answer
   x = 704,627.07