Finding the Third Proportional to 82,176 and 123,624

Step by Step Solution

1. Step 1: Write the proportion equation
   82,176 : 123,624 = 123,624 : x
2. Step 2: Convert to fraction form
   82,176/123,624 = 123,624/x
3. Step 3: Cross multiply
   82,176x = 123,624 × 123,624
4. Step 4: Simplify right side
   82,176x = 15,282,893,376
5. Step 5: Solve for x
   x = 15,282,893,376/82,176
6. Step 6: Final answer
   x = 185,977.58