Finding the Third Proportional to 77,932 and 113,981

Step by Step Solution

1. Step 1: Write the proportion equation
   77,932 : 113,981 = 113,981 : x
2. Step 2: Convert to fraction form
   77,932/113,981 = 113,981/x
3. Step 3: Cross multiply
   77,932x = 113,981 × 113,981
4. Step 4: Simplify right side
   77,932x = 12,991,668,361
5. Step 5: Solve for x
   x = 12,991,668,361/77,932
6. Step 6: Final answer
   x = 166,705.18