Finding the Third Proportional to 200,022.75 and 309,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,022.75 : 309,514.50 = 309,514.50 : x
2. Step 2: Convert to fraction form
   200,022.75/309,514.50 = 309,514.50/x
3. Step 3: Cross multiply
   200,022.75x = 309,514.50 × 309,514.50
4. Step 4: Simplify right side
   200,022.75x = 95,799,225,710.25
5. Step 5: Solve for x
   x = 95,799,225,710.25/200,022.75
6. Step 6: Final answer
   x = 478,941.65