Finding the Third Proportional to 82,888 and 177,410

Step by Step Solution

1. Step 1: Write the proportion equation
   82,888 : 177,410 = 177,410 : x
2. Step 2: Convert to fraction form
   82,888/177,410 = 177,410/x
3. Step 3: Cross multiply
   82,888x = 177,410 × 177,410
4. Step 4: Simplify right side
   82,888x = 31,474,308,100
5. Step 5: Solve for x
   x = 31,474,308,100/82,888
6. Step 6: Final answer
   x = 379,720.93