Finding the Third Proportional to 100,576 and 212,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,576 : 212,815.50 = 212,815.50 : x
2. Step 2: Convert to fraction form
   100,576/212,815.50 = 212,815.50/x
3. Step 3: Cross multiply
   100,576x = 212,815.50 × 212,815.50
4. Step 4: Simplify right side
   100,576x = 45,290,437,040.25
5. Step 5: Solve for x
   x = 45,290,437,040.25/100,576
6. Step 6: Final answer
   x = 450,310.58