Finding the Third Proportional to 200,054 and 309,666

Step by Step Solution

1. Step 1: Write the proportion equation
   200,054 : 309,666 = 309,666 : x
2. Step 2: Convert to fraction form
   200,054/309,666 = 309,666/x
3. Step 3: Cross multiply
   200,054x = 309,666 × 309,666
4. Step 4: Simplify right side
   200,054x = 95,893,031,556
5. Step 5: Solve for x
   x = 95,893,031,556/200,054
6. Step 6: Final answer
   x = 479,335.74