Finding the Third Proportional to 96,704 and 205,008

Step by Step Solution

1. Step 1: Write the proportion equation
   96,704 : 205,008 = 205,008 : x
2. Step 2: Convert to fraction form
   96,704/205,008 = 205,008/x
3. Step 3: Cross multiply
   96,704x = 205,008 × 205,008
4. Step 4: Simplify right side
   96,704x = 42,028,280,064
5. Step 5: Solve for x
   x = 42,028,280,064/96,704
6. Step 6: Final answer
   x = 434,607.46