Finding the Third Proportional to 82,464 and 177,960

Step by Step Solution

1. Step 1: Write the proportion equation
   82,464 : 177,960 = 177,960 : x
2. Step 2: Convert to fraction form
   82,464/177,960 = 177,960/x
3. Step 3: Cross multiply
   82,464x = 177,960 × 177,960
4. Step 4: Simplify right side
   82,464x = 31,669,761,600
5. Step 5: Solve for x
   x = 31,669,761,600/82,464
6. Step 6: Final answer
   x = 384,043.48