Finding the Third Proportional to 201,364 and 470,290

Step by Step Solution

1. Step 1: Write the proportion equation
   201,364 : 470,290 = 470,290 : x
2. Step 2: Convert to fraction form
   201,364/470,290 = 470,290/x
3. Step 3: Cross multiply
   201,364x = 470,290 × 470,290
4. Step 4: Simplify right side
   201,364x = 221,172,684,100
5. Step 5: Solve for x
   x = 221,172,684,100/201,364
6. Step 6: Final answer
   x = 1,098,372.52