Finding the Third Proportional to 178,240.50 and 380,538

Step by Step Solution

1. Step 1: Write the proportion equation
   178,240.50 : 380,538 = 380,538 : x
2. Step 2: Convert to fraction form
   178,240.50/380,538 = 380,538/x
3. Step 3: Cross multiply
   178,240.50x = 380,538 × 380,538
4. Step 4: Simplify right side
   178,240.50x = 144,809,169,444
5. Step 5: Solve for x
   x = 144,809,169,444/178,240.50
6. Step 6: Final answer
   x = 812,436.96