Finding the Third Proportional to 81,914 and 123,450

Step by Step Solution

1. Step 1: Write the proportion equation
   81,914 : 123,450 = 123,450 : x
2. Step 2: Convert to fraction form
   81,914/123,450 = 123,450/x
3. Step 3: Cross multiply
   81,914x = 123,450 × 123,450
4. Step 4: Simplify right side
   81,914x = 15,239,902,500
5. Step 5: Solve for x
   x = 15,239,902,500/81,914
6. Step 6: Final answer
   x = 186,047.59