Finding the Third Proportional to 82,338 and 177,160

Step by Step Solution

1. Step 1: Write the proportion equation
   82,338 : 177,160 = 177,160 : x
2. Step 2: Convert to fraction form
   82,338/177,160 = 177,160/x
3. Step 3: Cross multiply
   82,338x = 177,160 × 177,160
4. Step 4: Simplify right side
   82,338x = 31,385,665,600
5. Step 5: Solve for x
   x = 31,385,665,600/82,338
6. Step 6: Final answer
   x = 381,180.81