Finding the Third Proportional to 98,118 and 213,308

Step by Step Solution

1. Step 1: Write the proportion equation
   98,118 : 213,308 = 213,308 : x
2. Step 2: Convert to fraction form
   98,118/213,308 = 213,308/x
3. Step 3: Cross multiply
   98,118x = 213,308 × 213,308
4. Step 4: Simplify right side
   98,118x = 45,500,302,864
5. Step 5: Solve for x
   x = 45,500,302,864/98,118
6. Step 6: Final answer
   x = 463,730.44