Finding the Third Proportional to 178,069.50 and 384,228

Step by Step Solution

1. Step 1: Write the proportion equation
   178,069.50 : 384,228 = 384,228 : x
2. Step 2: Convert to fraction form
   178,069.50/384,228 = 384,228/x
3. Step 3: Cross multiply
   178,069.50x = 384,228 × 384,228
4. Step 4: Simplify right side
   178,069.50x = 147,631,155,984
5. Step 5: Solve for x
   x = 147,631,155,984/178,069.50
6. Step 6: Final answer
   x = 829,064.81