Finding the Third Proportional to 82,592 and 175,840

Step by Step Solution

1. Step 1: Write the proportion equation
   82,592 : 175,840 = 175,840 : x
2. Step 2: Convert to fraction form
   82,592/175,840 = 175,840/x
3. Step 3: Cross multiply
   82,592x = 175,840 × 175,840
4. Step 4: Simplify right side
   82,592x = 30,919,705,600
5. Step 5: Solve for x
   x = 30,919,705,600/82,592
6. Step 6: Final answer
   x = 374,366.83