Finding the Third Proportional to 178,615.50 and 381,786

Step by Step Solution

1. Step 1: Write the proportion equation
   178,615.50 : 381,786 = 381,786 : x
2. Step 2: Convert to fraction form
   178,615.50/381,786 = 381,786/x
3. Step 3: Cross multiply
   178,615.50x = 381,786 × 381,786
4. Step 4: Simplify right side
   178,615.50x = 145,760,549,796
5. Step 5: Solve for x
   x = 145,760,549,796/178,615.50
6. Step 6: Final answer
   x = 816,057.68