Finding the Third Proportional to 221,688 and 459,144

Step by Step Solution

1. Step 1: Write the proportion equation
   221,688 : 459,144 = 459,144 : x
2. Step 2: Convert to fraction form
   221,688/459,144 = 459,144/x
3. Step 3: Cross multiply
   221,688x = 459,144 × 459,144
4. Step 4: Simplify right side
   221,688x = 210,813,212,736
5. Step 5: Solve for x
   x = 210,813,212,736/221,688
6. Step 6: Final answer
   x = 950,945.53