Finding the Third Proportional to 98,992 and 206,144

Step by Step Solution

1. Step 1: Write the proportion equation
   98,992 : 206,144 = 206,144 : x
2. Step 2: Convert to fraction form
   98,992/206,144 = 206,144/x
3. Step 3: Cross multiply
   98,992x = 206,144 × 206,144
4. Step 4: Simplify right side
   98,992x = 42,495,348,736
5. Step 5: Solve for x
   x = 42,495,348,736/98,992
6. Step 6: Final answer
   x = 429,280.64