Finding the Third Proportional to 95,837 and 209,078

Step by Step Solution

1. Step 1: Write the proportion equation
   95,837 : 209,078 = 209,078 : x
2. Step 2: Convert to fraction form
   95,837/209,078 = 209,078/x
3. Step 3: Cross multiply
   95,837x = 209,078 × 209,078
4. Step 4: Simplify right side
   95,837x = 43,713,610,084
5. Step 5: Solve for x
   x = 43,713,610,084/95,837
6. Step 6: Final answer
   x = 456,124.57