Finding the Third Proportional to 200,055.50 and 309,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,055.50 : 309,668.50 = 309,668.50 : x
2. Step 2: Convert to fraction form
   200,055.50/309,668.50 = 309,668.50/x
3. Step 3: Cross multiply
   200,055.50x = 309,668.50 × 309,668.50
4. Step 4: Simplify right side
   200,055.50x = 95,894,579,892.25
5. Step 5: Solve for x
   x = 95,894,579,892.25/200,055.50
6. Step 6: Final answer
   x = 479,339.88