Finding the Third Proportional to 81,332 and 114,384

Step by Step Solution

1. Step 1: Write the proportion equation
   81,332 : 114,384 = 114,384 : x
2. Step 2: Convert to fraction form
   81,332/114,384 = 114,384/x
3. Step 3: Cross multiply
   81,332x = 114,384 × 114,384
4. Step 4: Simplify right side
   81,332x = 13,083,699,456
5. Step 5: Solve for x
   x = 13,083,699,456/81,332
6. Step 6: Final answer
   x = 160,867.79