Finding the Third Proportional to 81,775 and 123,068

Step by Step Solution

1. Step 1: Write the proportion equation
   81,775 : 123,068 = 123,068 : x
2. Step 2: Convert to fraction form
   81,775/123,068 = 123,068/x
3. Step 3: Cross multiply
   81,775x = 123,068 × 123,068
4. Step 4: Simplify right side
   81,775x = 15,145,732,624
5. Step 5: Solve for x
   x = 15,145,732,624/81,775
6. Step 6: Final answer
   x = 185,212.26