Finding the Third Proportional to 82,592 and 174,843

Step by Step Solution

1. Step 1: Write the proportion equation
   82,592 : 174,843 = 174,843 : x
2. Step 2: Convert to fraction form
   82,592/174,843 = 174,843/x
3. Step 3: Cross multiply
   82,592x = 174,843 × 174,843
4. Step 4: Simplify right side
   82,592x = 30,570,074,649
5. Step 5: Solve for x
   x = 30,570,074,649/82,592
6. Step 6: Final answer
   x = 370,133.60