Finding the Third Proportional to 82,124 and 174,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,124 : 174,616 = 174,616 : x
2. Step 2: Convert to fraction form
   82,124/174,616 = 174,616/x
3. Step 3: Cross multiply
   82,124x = 174,616 × 174,616
4. Step 4: Simplify right side
   82,124x = 30,490,747,456
5. Step 5: Solve for x
   x = 30,490,747,456/82,124
6. Step 6: Final answer
   x = 371,276.94