Finding the Third Proportional to 81,962 and 123,525

Step by Step Solution

1. Step 1: Write the proportion equation
   81,962 : 123,525 = 123,525 : x
2. Step 2: Convert to fraction form
   81,962/123,525 = 123,525/x
3. Step 3: Cross multiply
   81,962x = 123,525 × 123,525
4. Step 4: Simplify right side
   81,962x = 15,258,425,625
5. Step 5: Solve for x
   x = 15,258,425,625/81,962
6. Step 6: Final answer
   x = 186,164.63