Finding the Third Proportional to 100,636 and 211,064

Step by Step Solution

1. Step 1: Write the proportion equation
   100,636 : 211,064 = 211,064 : x
2. Step 2: Convert to fraction form
   100,636/211,064 = 211,064/x
3. Step 3: Cross multiply
   100,636x = 211,064 × 211,064
4. Step 4: Simplify right side
   100,636x = 44,548,012,096
5. Step 5: Solve for x
   x = 44,548,012,096/100,636
6. Step 6: Final answer
   x = 442,664.77