Finding the Third Proportional to 119,717.50 and 178,538

Step by Step Solution

1. Step 1: Write the proportion equation
   119,717.50 : 178,538 = 178,538 : x
2. Step 2: Convert to fraction form
   119,717.50/178,538 = 178,538/x
3. Step 3: Cross multiply
   119,717.50x = 178,538 × 178,538
4. Step 4: Simplify right side
   119,717.50x = 31,875,817,444
5. Step 5: Solve for x
   x = 31,875,817,444/119,717.50
6. Step 6: Final answer
   x = 266,258.63