Finding the Third Proportional to 93,822 and 205,800

Step by Step Solution

1. Step 1: Write the proportion equation
   93,822 : 205,800 = 205,800 : x
2. Step 2: Convert to fraction form
   93,822/205,800 = 205,800/x
3. Step 3: Cross multiply
   93,822x = 205,800 × 205,800
4. Step 4: Simplify right side
   93,822x = 42,353,640,000
5. Step 5: Solve for x
   x = 42,353,640,000/93,822
6. Step 6: Final answer
   x = 451,425.47