Finding the Third Proportional to 81,544 and 114,830

Step by Step Solution

1. Step 1: Write the proportion equation
   81,544 : 114,830 = 114,830 : x
2. Step 2: Convert to fraction form
   81,544/114,830 = 114,830/x
3. Step 3: Cross multiply
   81,544x = 114,830 × 114,830
4. Step 4: Simplify right side
   81,544x = 13,185,928,900
5. Step 5: Solve for x
   x = 13,185,928,900/81,544
6. Step 6: Final answer
   x = 161,703.24