Finding the Third Proportional to 82,536 and 123,732

Step by Step Solution

1. Step 1: Write the proportion equation
   82,536 : 123,732 = 123,732 : x
2. Step 2: Convert to fraction form
   82,536/123,732 = 123,732/x
3. Step 3: Cross multiply
   82,536x = 123,732 × 123,732
4. Step 4: Simplify right side
   82,536x = 15,309,607,824
5. Step 5: Solve for x
   x = 15,309,607,824/82,536
6. Step 6: Final answer
   x = 185,490.06