Finding the Third Proportional to 82,091 and 178,560

Step by Step Solution

1. Step 1: Write the proportion equation
   82,091 : 178,560 = 178,560 : x
2. Step 2: Convert to fraction form
   82,091/178,560 = 178,560/x
3. Step 3: Cross multiply
   82,091x = 178,560 × 178,560
4. Step 4: Simplify right side
   82,091x = 31,883,673,600
5. Step 5: Solve for x
   x = 31,883,673,600/82,091
6. Step 6: Final answer
   x = 388,394.26