Finding the Third Proportional to 98,172 and 205,092

Step by Step Solution

1. Step 1: Write the proportion equation
   98,172 : 205,092 = 205,092 : x
2. Step 2: Convert to fraction form
   98,172/205,092 = 205,092/x
3. Step 3: Cross multiply
   98,172x = 205,092 × 205,092
4. Step 4: Simplify right side
   98,172x = 42,062,728,464
5. Step 5: Solve for x
   x = 42,062,728,464/98,172
6. Step 6: Final answer
   x = 428,459.52