Finding the Third Proportional to 98,496 and 215,456

Step by Step Solution

1. Step 1: Write the proportion equation
   98,496 : 215,456 = 215,456 : x
2. Step 2: Convert to fraction form
   98,496/215,456 = 215,456/x
3. Step 3: Cross multiply
   98,496x = 215,456 × 215,456
4. Step 4: Simplify right side
   98,496x = 46,421,287,936
5. Step 5: Solve for x
   x = 46,421,287,936/98,496
6. Step 6: Final answer
   x = 471,301.25