Finding the Third Proportional to 198,233 and 319,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,233 : 319,185.50 = 319,185.50 : x
2. Step 2: Convert to fraction form
   198,233/319,185.50 = 319,185.50/x
3. Step 3: Cross multiply
   198,233x = 319,185.50 × 319,185.50
4. Step 4: Simplify right side
   198,233x = 101,879,383,410.25
5. Step 5: Solve for x
   x = 101,879,383,410.25/198,233
6. Step 6: Final answer
   x = 513,937.56