Finding the Third Proportional to 82,624 and 116,808

Step by Step Solution

1. Step 1: Write the proportion equation
   82,624 : 116,808 = 116,808 : x
2. Step 2: Convert to fraction form
   82,624/116,808 = 116,808/x
3. Step 3: Cross multiply
   82,624x = 116,808 × 116,808
4. Step 4: Simplify right side
   82,624x = 13,644,108,864
5. Step 5: Solve for x
   x = 13,644,108,864/82,624
6. Step 6: Final answer
   x = 165,134.93