Finding the Third Proportional to 178,170 and 384,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,170 : 384,187.50 = 384,187.50 : x
2. Step 2: Convert to fraction form
   178,170/384,187.50 = 384,187.50/x
3. Step 3: Cross multiply
   178,170x = 384,187.50 × 384,187.50
4. Step 4: Simplify right side
   178,170x = 147,600,035,156.25
5. Step 5: Solve for x
   x = 147,600,035,156.25/178,170
6. Step 6: Final answer
   x = 828,422.49