Finding the Third Proportional to 216,878 and 333,772

Step by Step Solution

1. Step 1: Write the proportion equation
   216,878 : 333,772 = 333,772 : x
2. Step 2: Convert to fraction form
   216,878/333,772 = 333,772/x
3. Step 3: Cross multiply
   216,878x = 333,772 × 333,772
4. Step 4: Simplify right side
   216,878x = 111,403,747,984
5. Step 5: Solve for x
   x = 111,403,747,984/216,878
6. Step 6: Final answer
   x = 513,670.12