Finding the Third Proportional to 206,604 and 319,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,604 : 319,018.50 = 319,018.50 : x
2. Step 2: Convert to fraction form
   206,604/319,018.50 = 319,018.50/x
3. Step 3: Cross multiply
   206,604x = 319,018.50 × 319,018.50
4. Step 4: Simplify right side
   206,604x = 101,772,803,342.25
5. Step 5: Solve for x
   x = 101,772,803,342.25/206,604
6. Step 6: Final answer
   x = 492,598.42