Finding the Third Proportional to 95,836 and 223,842

Step by Step Solution

1. Step 1: Write the proportion equation
   95,836 : 223,842 = 223,842 : x
2. Step 2: Convert to fraction form
   95,836/223,842 = 223,842/x
3. Step 3: Cross multiply
   95,836x = 223,842 × 223,842
4. Step 4: Simplify right side
   95,836x = 50,105,240,964
5. Step 5: Solve for x
   x = 50,105,240,964/95,836
6. Step 6: Final answer
   x = 522,822.75