Finding the Third Proportional to 81,853.50 and 123,085

Step by Step Solution

1. Step 1: Write the proportion equation
   81,853.50 : 123,085 = 123,085 : x
2. Step 2: Convert to fraction form
   81,853.50/123,085 = 123,085/x
3. Step 3: Cross multiply
   81,853.50x = 123,085 × 123,085
4. Step 4: Simplify right side
   81,853.50x = 15,149,917,225
5. Step 5: Solve for x
   x = 15,149,917,225/81,853.50
6. Step 6: Final answer
   x = 185,085.76