Finding the Third Proportional to 82,351 and 179,761

Step by Step Solution

1. Step 1: Write the proportion equation
   82,351 : 179,761 = 179,761 : x
2. Step 2: Convert to fraction form
   82,351/179,761 = 179,761/x
3. Step 3: Cross multiply
   82,351x = 179,761 × 179,761
4. Step 4: Simplify right side
   82,351x = 32,314,017,121
5. Step 5: Solve for x
   x = 32,314,017,121/82,351
6. Step 6: Final answer
   x = 392,393.74