Finding the Third Proportional to 82,312 and 116,548

Step by Step Solution

1. Step 1: Write the proportion equation
   82,312 : 116,548 = 116,548 : x
2. Step 2: Convert to fraction form
   82,312/116,548 = 116,548/x
3. Step 3: Cross multiply
   82,312x = 116,548 × 116,548
4. Step 4: Simplify right side
   82,312x = 13,583,436,304
5. Step 5: Solve for x
   x = 13,583,436,304/82,312
6. Step 6: Final answer
   x = 165,023.77