Finding the Third Proportional to 173,904 and 264,510

Step by Step Solution

1. Step 1: Write the proportion equation
   173,904 : 264,510 = 264,510 : x
2. Step 2: Convert to fraction form
   173,904/264,510 = 264,510/x
3. Step 3: Cross multiply
   173,904x = 264,510 × 264,510
4. Step 4: Simplify right side
   173,904x = 69,965,540,100
5. Step 5: Solve for x
   x = 69,965,540,100/173,904
6. Step 6: Final answer
   x = 402,322.78