Finding the Third Proportional to 98,176 and 210,144

Step by Step Solution

1. Step 1: Write the proportion equation
   98,176 : 210,144 = 210,144 : x
2. Step 2: Convert to fraction form
   98,176/210,144 = 210,144/x
3. Step 3: Cross multiply
   98,176x = 210,144 × 210,144
4. Step 4: Simplify right side
   98,176x = 44,160,500,736
5. Step 5: Solve for x
   x = 44,160,500,736/98,176
6. Step 6: Final answer
   x = 449,809.53