Finding the Third Proportional to 82,472 and 116,508

Step by Step Solution

1. Step 1: Write the proportion equation
   82,472 : 116,508 = 116,508 : x
2. Step 2: Convert to fraction form
   82,472/116,508 = 116,508/x
3. Step 3: Cross multiply
   82,472x = 116,508 × 116,508
4. Step 4: Simplify right side
   82,472x = 13,574,114,064
5. Step 5: Solve for x
   x = 13,574,114,064/82,472
6. Step 6: Final answer
   x = 164,590.58