Finding the Third Proportional to 82,516 and 169,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,516 : 169,404 = 169,404 : x
2. Step 2: Convert to fraction form
   82,516/169,404 = 169,404/x
3. Step 3: Cross multiply
   82,516x = 169,404 × 169,404
4. Step 4: Simplify right side
   82,516x = 28,697,715,216
5. Step 5: Solve for x
   x = 28,697,715,216/82,516
6. Step 6: Final answer
   x = 347,783.64