Finding the Third Proportional to 100,810 and 212,012

Step by Step Solution

1. Step 1: Write the proportion equation
   100,810 : 212,012 = 212,012 : x
2. Step 2: Convert to fraction form
   100,810/212,012 = 212,012/x
3. Step 3: Cross multiply
   100,810x = 212,012 × 212,012
4. Step 4: Simplify right side
   100,810x = 44,949,088,144
5. Step 5: Solve for x
   x = 44,949,088,144/100,810
6. Step 6: Final answer
   x = 445,879.26