Finding the Third Proportional to 200,059.50 and 309,675

Step by Step Solution

1. Step 1: Write the proportion equation
   200,059.50 : 309,675 = 309,675 : x
2. Step 2: Convert to fraction form
   200,059.50/309,675 = 309,675/x
3. Step 3: Cross multiply
   200,059.50x = 309,675 × 309,675
4. Step 4: Simplify right side
   200,059.50x = 95,898,605,625
5. Step 5: Solve for x
   x = 95,898,605,625/200,059.50
6. Step 6: Final answer
   x = 479,350.42