Finding the Third Proportional to 201,388 and 470,348

Step by Step Solution

1. Step 1: Write the proportion equation
   201,388 : 470,348 = 470,348 : x
2. Step 2: Convert to fraction form
   201,388/470,348 = 470,348/x
3. Step 3: Cross multiply
   201,388x = 470,348 × 470,348
4. Step 4: Simplify right side
   201,388x = 221,227,241,104
5. Step 5: Solve for x
   x = 221,227,241,104/201,388
6. Step 6: Final answer
   x = 1,098,512.53