Finding the Third Proportional to 206,448 and 319,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,448 : 319,066.50 = 319,066.50 : x
2. Step 2: Convert to fraction form
   206,448/319,066.50 = 319,066.50/x
3. Step 3: Cross multiply
   206,448x = 319,066.50 × 319,066.50
4. Step 4: Simplify right side
   206,448x = 101,803,431,422.25
5. Step 5: Solve for x
   x = 101,803,431,422.25/206,448
6. Step 6: Final answer
   x = 493,119.00