Finding the Third Proportional to 81,964 and 123,524

Step by Step Solution

1. Step 1: Write the proportion equation
   81,964 : 123,524 = 123,524 : x
2. Step 2: Convert to fraction form
   81,964/123,524 = 123,524/x
3. Step 3: Cross multiply
   81,964x = 123,524 × 123,524
4. Step 4: Simplify right side
   81,964x = 15,258,178,576
5. Step 5: Solve for x
   x = 15,258,178,576/81,964
6. Step 6: Final answer
   x = 186,157.08