Finding the Third Proportional to 98,864 and 213,280

Step by Step Solution

1. Step 1: Write the proportion equation
   98,864 : 213,280 = 213,280 : x
2. Step 2: Convert to fraction form
   98,864/213,280 = 213,280/x
3. Step 3: Cross multiply
   98,864x = 213,280 × 213,280
4. Step 4: Simplify right side
   98,864x = 45,488,358,400
5. Step 5: Solve for x
   x = 45,488,358,400/98,864
6. Step 6: Final answer
   x = 460,110.44