Finding the Third Proportional to 101,426 and 214,180

Step by Step Solution

1. Step 1: Write the proportion equation
   101,426 : 214,180 = 214,180 : x
2. Step 2: Convert to fraction form
   101,426/214,180 = 214,180/x
3. Step 3: Cross multiply
   101,426x = 214,180 × 214,180
4. Step 4: Simplify right side
   101,426x = 45,873,072,400
5. Step 5: Solve for x
   x = 45,873,072,400/101,426
6. Step 6: Final answer
   x = 452,281.19