Finding the Third Proportional to 212,415 and 325,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,415 : 325,993.50 = 325,993.50 : x
2. Step 2: Convert to fraction form
   212,415/325,993.50 = 325,993.50/x
3. Step 3: Cross multiply
   212,415x = 325,993.50 × 325,993.50
4. Step 4: Simplify right side
   212,415x = 106,271,762,042.25
5. Step 5: Solve for x
   x = 106,271,762,042.25/212,415
6. Step 6: Final answer
   x = 500,302.53