Finding the Third Proportional to 100,764 and 213,516

Step by Step Solution

1. Step 1: Write the proportion equation
   100,764 : 213,516 = 213,516 : x
2. Step 2: Convert to fraction form
   100,764/213,516 = 213,516/x
3. Step 3: Cross multiply
   100,764x = 213,516 × 213,516
4. Step 4: Simplify right side
   100,764x = 45,589,082,256
5. Step 5: Solve for x
   x = 45,589,082,256/100,764
6. Step 6: Final answer
   x = 452,434.23