Finding the Third Proportional to 81,572 and 114,874

Step by Step Solution

1. Step 1: Write the proportion equation
   81,572 : 114,874 = 114,874 : x
2. Step 2: Convert to fraction form
   81,572/114,874 = 114,874/x
3. Step 3: Cross multiply
   81,572x = 114,874 × 114,874
4. Step 4: Simplify right side
   81,572x = 13,196,035,876
5. Step 5: Solve for x
   x = 13,196,035,876/81,572
6. Step 6: Final answer
   x = 161,771.64