Finding the Third Proportional to 98,996 and 206,152

Step by Step Solution

1. Step 1: Write the proportion equation
   98,996 : 206,152 = 206,152 : x
2. Step 2: Convert to fraction form
   98,996/206,152 = 206,152/x
3. Step 3: Cross multiply
   98,996x = 206,152 × 206,152
4. Step 4: Simplify right side
   98,996x = 42,498,647,104
5. Step 5: Solve for x
   x = 42,498,647,104/98,996
6. Step 6: Final answer
   x = 429,296.61