Finding the Third Proportional to 100,603 and 213,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,603 : 213,198.50 = 213,198.50 : x
2. Step 2: Convert to fraction form
   100,603/213,198.50 = 213,198.50/x
3. Step 3: Cross multiply
   100,603x = 213,198.50 × 213,198.50
4. Step 4: Simplify right side
   100,603x = 45,453,600,402.25
5. Step 5: Solve for x
   x = 45,453,600,402.25/100,603
6. Step 6: Final answer
   x = 451,811.58