Finding the Third Proportional to 99,756 and 213,333

Step by Step Solution

1. Step 1: Write the proportion equation
   99,756 : 213,333 = 213,333 : x
2. Step 2: Convert to fraction form
   99,756/213,333 = 213,333/x
3. Step 3: Cross multiply
   99,756x = 213,333 × 213,333
4. Step 4: Simplify right side
   99,756x = 45,510,968,889
5. Step 5: Solve for x
   x = 45,510,968,889/99,756
6. Step 6: Final answer
   x = 456,222.87