Finding the Third Proportional to 96,642 and 196,002

Step by Step Solution

1. Step 1: Write the proportion equation
   96,642 : 196,002 = 196,002 : x
2. Step 2: Convert to fraction form
   96,642/196,002 = 196,002/x
3. Step 3: Cross multiply
   96,642x = 196,002 × 196,002
4. Step 4: Simplify right side
   96,642x = 38,416,784,004
5. Step 5: Solve for x
   x = 38,416,784,004/96,642
6. Step 6: Final answer
   x = 397,516.44