Finding the Third Proportional to 82,442 and 116,463

Step by Step Solution

1. Step 1: Write the proportion equation
   82,442 : 116,463 = 116,463 : x
2. Step 2: Convert to fraction form
   82,442/116,463 = 116,463/x
3. Step 3: Cross multiply
   82,442x = 116,463 × 116,463
4. Step 4: Simplify right side
   82,442x = 13,563,630,369
5. Step 5: Solve for x
   x = 13,563,630,369/82,442
6. Step 6: Final answer
   x = 164,523.31