Finding the Third Proportional to 98,436 and 214,914

Step by Step Solution

1. Step 1: Write the proportion equation
   98,436 : 214,914 = 214,914 : x
2. Step 2: Convert to fraction form
   98,436/214,914 = 214,914/x
3. Step 3: Cross multiply
   98,436x = 214,914 × 214,914
4. Step 4: Simplify right side
   98,436x = 46,188,027,396
5. Step 5: Solve for x
   x = 46,188,027,396/98,436
6. Step 6: Final answer
   x = 469,218.86