Finding the Third Proportional to 100,710 and 213,384

Step by Step Solution

1. Step 1: Write the proportion equation
   100,710 : 213,384 = 213,384 : x
2. Step 2: Convert to fraction form
   100,710/213,384 = 213,384/x
3. Step 3: Cross multiply
   100,710x = 213,384 × 213,384
4. Step 4: Simplify right side
   100,710x = 45,532,731,456
5. Step 5: Solve for x
   x = 45,532,731,456/100,710
6. Step 6: Final answer
   x = 452,117.28