Finding the Third Proportional to 81,812 and 109,940

Step by Step Solution

1. Step 1: Write the proportion equation
   81,812 : 109,940 = 109,940 : x
2. Step 2: Convert to fraction form
   81,812/109,940 = 109,940/x
3. Step 3: Cross multiply
   81,812x = 109,940 × 109,940
4. Step 4: Simplify right side
   81,812x = 12,086,803,600
5. Step 5: Solve for x
   x = 12,086,803,600/81,812
6. Step 6: Final answer
   x = 147,738.76