Finding the Third Proportional to 98,224 and 212,144

Step by Step Solution

1. Step 1: Write the proportion equation
   98,224 : 212,144 = 212,144 : x
2. Step 2: Convert to fraction form
   98,224/212,144 = 212,144/x
3. Step 3: Cross multiply
   98,224x = 212,144 × 212,144
4. Step 4: Simplify right side
   98,224x = 45,005,076,736
5. Step 5: Solve for x
   x = 45,005,076,736/98,224
6. Step 6: Final answer
   x = 458,188.19