Finding the Third Proportional to 96,640 and 196,012

Step by Step Solution

1. Step 1: Write the proportion equation
   96,640 : 196,012 = 196,012 : x
2. Step 2: Convert to fraction form
   96,640/196,012 = 196,012/x
3. Step 3: Cross multiply
   96,640x = 196,012 × 196,012
4. Step 4: Simplify right side
   96,640x = 38,420,704,144
5. Step 5: Solve for x
   x = 38,420,704,144/96,640
6. Step 6: Final answer
   x = 397,565.23