Finding the Third Proportional to 178,616 and 381,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,616 : 381,795.50 = 381,795.50 : x
2. Step 2: Convert to fraction form
   178,616/381,795.50 = 381,795.50/x
3. Step 3: Cross multiply
   178,616x = 381,795.50 × 381,795.50
4. Step 4: Simplify right side
   178,616x = 145,767,803,820.25
5. Step 5: Solve for x
   x = 145,767,803,820.25/178,616
6. Step 6: Final answer
   x = 816,096.00