Finding the Third Proportional to 98,280 and 212,256

Step by Step Solution

1. Step 1: Write the proportion equation
   98,280 : 212,256 = 212,256 : x
2. Step 2: Convert to fraction form
   98,280/212,256 = 212,256/x
3. Step 3: Cross multiply
   98,280x = 212,256 × 212,256
4. Step 4: Simplify right side
   98,280x = 45,052,609,536
5. Step 5: Solve for x
   x = 45,052,609,536/98,280
6. Step 6: Final answer
   x = 458,410.76