Finding the Third Proportional to 200,047 and 309,548

Step by Step Solution

1. Step 1: Write the proportion equation
   200,047 : 309,548 = 309,548 : x
2. Step 2: Convert to fraction form
   200,047/309,548 = 309,548/x
3. Step 3: Cross multiply
   200,047x = 309,548 × 309,548
4. Step 4: Simplify right side
   200,047x = 95,819,964,304
5. Step 5: Solve for x
   x = 95,819,964,304/200,047
6. Step 6: Final answer
   x = 478,987.26