Finding the Third Proportional to 93,952 and 206,002

Step by Step Solution

1. Step 1: Write the proportion equation
   93,952 : 206,002 = 206,002 : x
2. Step 2: Convert to fraction form
   93,952/206,002 = 206,002/x
3. Step 3: Cross multiply
   93,952x = 206,002 × 206,002
4. Step 4: Simplify right side
   93,952x = 42,436,824,004
5. Step 5: Solve for x
   x = 42,436,824,004/93,952
6. Step 6: Final answer
   x = 451,686.22