Finding the Third Proportional to 98,784 and 213,648

Step by Step Solution

1. Step 1: Write the proportion equation
   98,784 : 213,648 = 213,648 : x
2. Step 2: Convert to fraction form
   98,784/213,648 = 213,648/x
3. Step 3: Cross multiply
   98,784x = 213,648 × 213,648
4. Step 4: Simplify right side
   98,784x = 45,645,467,904
5. Step 5: Solve for x
   x = 45,645,467,904/98,784
6. Step 6: Final answer
   x = 462,073.49