Finding the Third Proportional to 106,180 and 222,584

Step by Step Solution

1. Step 1: Write the proportion equation
   106,180 : 222,584 = 222,584 : x
2. Step 2: Convert to fraction form
   106,180/222,584 = 222,584/x
3. Step 3: Cross multiply
   106,180x = 222,584 × 222,584
4. Step 4: Simplify right side
   106,180x = 49,543,637,056
5. Step 5: Solve for x
   x = 49,543,637,056/106,180
6. Step 6: Final answer
   x = 466,600.46