Finding the Third Proportional to 201,428 and 470,448

Step by Step Solution

1. Step 1: Write the proportion equation
   201,428 : 470,448 = 470,448 : x
2. Step 2: Convert to fraction form
   201,428/470,448 = 470,448/x
3. Step 3: Cross multiply
   201,428x = 470,448 × 470,448
4. Step 4: Simplify right side
   201,428x = 221,321,320,704
5. Step 5: Solve for x
   x = 221,321,320,704/201,428
6. Step 6: Final answer
   x = 1,098,761.45