Finding the Third Proportional to 200,857.50 and 418,359.38

Step by Step Solution

1. Step 1: Write the proportion equation
   200,857.50 : 418,359.38 = 418,359.38 : x
2. Step 2: Convert to fraction form
   200,857.50/418,359.38 = 418,359.38/x
3. Step 3: Cross multiply
   200,857.50x = 418,359.38 × 418,359.38
4. Step 4: Simplify right side
   200,857.50x = 175,024,566,650.39
5. Step 5: Solve for x
   x = 175,024,566,650.39/200,857.50
6. Step 6: Final answer
   x = 871,386.76