Finding the Third Proportional to 145,584 and 222,984

Step by Step Solution

1. Step 1: Write the proportion equation
   145,584 : 222,984 = 222,984 : x
2. Step 2: Convert to fraction form
   145,584/222,984 = 222,984/x
3. Step 3: Cross multiply
   145,584x = 222,984 × 222,984
4. Step 4: Simplify right side
   145,584x = 49,721,864,256
5. Step 5: Solve for x
   x = 49,721,864,256/145,584
6. Step 6: Final answer
   x = 341,533.85