Finding the Third Proportional to 81,934 and 123,653

Step by Step Solution

1. Step 1: Write the proportion equation
   81,934 : 123,653 = 123,653 : x
2. Step 2: Convert to fraction form
   81,934/123,653 = 123,653/x
3. Step 3: Cross multiply
   81,934x = 123,653 × 123,653
4. Step 4: Simplify right side
   81,934x = 15,290,064,409
5. Step 5: Solve for x
   x = 15,290,064,409/81,934
6. Step 6: Final answer
   x = 186,614.40