Finding the Third Proportional to 96,672 and 204,960

Step by Step Solution

1. Step 1: Write the proportion equation
   96,672 : 204,960 = 204,960 : x
2. Step 2: Convert to fraction form
   96,672/204,960 = 204,960/x
3. Step 3: Cross multiply
   96,672x = 204,960 × 204,960
4. Step 4: Simplify right side
   96,672x = 42,008,601,600
5. Step 5: Solve for x
   x = 42,008,601,600/96,672
6. Step 6: Final answer
   x = 434,547.77