Finding the Third Proportional to 82,050 and 123,327

Step by Step Solution

1. Step 1: Write the proportion equation
   82,050 : 123,327 = 123,327 : x
2. Step 2: Convert to fraction form
   82,050/123,327 = 123,327/x
3. Step 3: Cross multiply
   82,050x = 123,327 × 123,327
4. Step 4: Simplify right side
   82,050x = 15,209,548,929
5. Step 5: Solve for x
   x = 15,209,548,929/82,050
6. Step 6: Final answer
   x = 185,369.27