Finding the Third Proportional to 77,806.50 and 120,162

Step by Step Solution

1. Step 1: Write the proportion equation
   77,806.50 : 120,162 = 120,162 : x
2. Step 2: Convert to fraction form
   77,806.50/120,162 = 120,162/x
3. Step 3: Cross multiply
   77,806.50x = 120,162 × 120,162
4. Step 4: Simplify right side
   77,806.50x = 14,438,906,244
5. Step 5: Solve for x
   x = 14,438,906,244/77,806.50
6. Step 6: Final answer
   x = 185,574.55