Finding the Third Proportional to 81,786 and 123,088

Step by Step Solution

1. Step 1: Write the proportion equation
   81,786 : 123,088 = 123,088 : x
2. Step 2: Convert to fraction form
   81,786/123,088 = 123,088/x
3. Step 3: Cross multiply
   81,786x = 123,088 × 123,088
4. Step 4: Simplify right side
   81,786x = 15,150,655,744
5. Step 5: Solve for x
   x = 15,150,655,744/81,786
6. Step 6: Final answer
   x = 185,247.55