Finding the Third Proportional to 98,914 and 205,988

Step by Step Solution

1. Step 1: Write the proportion equation
   98,914 : 205,988 = 205,988 : x
2. Step 2: Convert to fraction form
   98,914/205,988 = 205,988/x
3. Step 3: Cross multiply
   98,914x = 205,988 × 205,988
4. Step 4: Simplify right side
   98,914x = 42,431,056,144
5. Step 5: Solve for x
   x = 42,431,056,144/98,914
6. Step 6: Final answer
   x = 428,969.17