Finding the Third Proportional to 45,502 and 98,456

Step by Step Solution

1. Step 1: Write the proportion equation
   45,502 : 98,456 = 98,456 : x
2. Step 2: Convert to fraction form
   45,502/98,456 = 98,456/x
3. Step 3: Cross multiply
   45,502x = 98,456 × 98,456
4. Step 4: Simplify right side
   45,502x = 9,693,583,936
5. Step 5: Solve for x
   x = 9,693,583,936/45,502
6. Step 6: Final answer
   x = 213,036.44