Finding the Third Proportional to 81,580 and 114,884

Step by Step Solution

1. Step 1: Write the proportion equation
   81,580 : 114,884 = 114,884 : x
2. Step 2: Convert to fraction form
   81,580/114,884 = 114,884/x
3. Step 3: Cross multiply
   81,580x = 114,884 × 114,884
4. Step 4: Simplify right side
   81,580x = 13,198,333,456
5. Step 5: Solve for x
   x = 13,198,333,456/81,580
6. Step 6: Final answer
   x = 161,783.94