Finding the Third Proportional to 82,339 and 177,380

Step by Step Solution

1. Step 1: Write the proportion equation
   82,339 : 177,380 = 177,380 : x
2. Step 2: Convert to fraction form
   82,339/177,380 = 177,380/x
3. Step 3: Cross multiply
   82,339x = 177,380 × 177,380
4. Step 4: Simplify right side
   82,339x = 31,463,664,400
5. Step 5: Solve for x
   x = 31,463,664,400/82,339
6. Step 6: Final answer
   x = 382,123.47