Finding the Third Proportional to 93,590 and 200,578

Step by Step Solution

1. Step 1: Write the proportion equation
   93,590 : 200,578 = 200,578 : x
2. Step 2: Convert to fraction form
   93,590/200,578 = 200,578/x
3. Step 3: Cross multiply
   93,590x = 200,578 × 200,578
4. Step 4: Simplify right side
   93,590x = 40,231,534,084
5. Step 5: Solve for x
   x = 40,231,534,084/93,590
6. Step 6: Final answer
   x = 429,870.01