Finding the Third Proportional to 81,586 and 114,894

Step by Step Solution

1. Step 1: Write the proportion equation
   81,586 : 114,894 = 114,894 : x
2. Step 2: Convert to fraction form
   81,586/114,894 = 114,894/x
3. Step 3: Cross multiply
   81,586x = 114,894 × 114,894
4. Step 4: Simplify right side
   81,586x = 13,200,631,236
5. Step 5: Solve for x
   x = 13,200,631,236/81,586
6. Step 6: Final answer
   x = 161,800.20