Finding the Third Proportional to 95,582 and 199,002

Step by Step Solution

1. Step 1: Write the proportion equation
   95,582 : 199,002 = 199,002 : x
2. Step 2: Convert to fraction form
   95,582/199,002 = 199,002/x
3. Step 3: Cross multiply
   95,582x = 199,002 × 199,002
4. Step 4: Simplify right side
   95,582x = 39,601,796,004
5. Step 5: Solve for x
   x = 39,601,796,004/95,582
6. Step 6: Final answer
   x = 414,322.74