Finding the Third Proportional to 100,922 and 214,142

Step by Step Solution

1. Step 1: Write the proportion equation
   100,922 : 214,142 = 214,142 : x
2. Step 2: Convert to fraction form
   100,922/214,142 = 214,142/x
3. Step 3: Cross multiply
   100,922x = 214,142 × 214,142
4. Step 4: Simplify right side
   100,922x = 45,856,796,164
5. Step 5: Solve for x
   x = 45,856,796,164/100,922
6. Step 6: Final answer
   x = 454,378.59