Finding the Third Proportional to 119,686.50 and 182,016.56

Step by Step Solution

1. Step 1: Write the proportion equation
   119,686.50 : 182,016.56 = 182,016.56 : x
2. Step 2: Convert to fraction form
   119,686.50/182,016.56 = 182,016.56/x
3. Step 3: Cross multiply
   119,686.50x = 182,016.56 × 182,016.56
4. Step 4: Simplify right side
   119,686.50x = 33,130,029,024.32
5. Step 5: Solve for x
   x = 33,130,029,024.32/119,686.50
6. Step 6: Final answer
   x = 276,806.73