Finding the Third Proportional to 100,809 and 213,552

Step by Step Solution

1. Step 1: Write the proportion equation
   100,809 : 213,552 = 213,552 : x
2. Step 2: Convert to fraction form
   100,809/213,552 = 213,552/x
3. Step 3: Cross multiply
   100,809x = 213,552 × 213,552
4. Step 4: Simplify right side
   100,809x = 45,604,456,704
5. Step 5: Solve for x
   x = 45,604,456,704/100,809
6. Step 6: Final answer
   x = 452,384.77