Finding the Third Proportional to 212,824 and 317,390.25

Step by Step Solution

1. Step 1: Write the proportion equation
   212,824 : 317,390.25 = 317,390.25 : x
2. Step 2: Convert to fraction form
   212,824/317,390.25 = 317,390.25/x
3. Step 3: Cross multiply
   212,824x = 317,390.25 × 317,390.25
4. Step 4: Simplify right side
   212,824x = 100,736,570,795.06
5. Step 5: Solve for x
   x = 100,736,570,795.06/212,824
6. Step 6: Final answer
   x = 473,332.76