Finding the Third Proportional to 82,390 and 123,576

Step by Step Solution

1. Step 1: Write the proportion equation
   82,390 : 123,576 = 123,576 : x
2. Step 2: Convert to fraction form
   82,390/123,576 = 123,576/x
3. Step 3: Cross multiply
   82,390x = 123,576 × 123,576
4. Step 4: Simplify right side
   82,390x = 15,271,027,776
5. Step 5: Solve for x
   x = 15,271,027,776/82,390
6. Step 6: Final answer
   x = 185,350.50