Finding the Third Proportional to 82,694 and 174,732

Step by Step Solution

1. Step 1: Write the proportion equation
   82,694 : 174,732 = 174,732 : x
2. Step 2: Convert to fraction form
   82,694/174,732 = 174,732/x
3. Step 3: Cross multiply
   82,694x = 174,732 × 174,732
4. Step 4: Simplify right side
   82,694x = 30,531,271,824
5. Step 5: Solve for x
   x = 30,531,271,824/82,694
6. Step 6: Final answer
   x = 369,207.82