Finding the Third Proportional to 178,597 and 270,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,597 : 270,191.50 = 270,191.50 : x
2. Step 2: Convert to fraction form
   178,597/270,191.50 = 270,191.50/x
3. Step 3: Cross multiply
   178,597x = 270,191.50 × 270,191.50
4. Step 4: Simplify right side
   178,597x = 73,003,446,672.25
5. Step 5: Solve for x
   x = 73,003,446,672.25/178,597
6. Step 6: Final answer
   x = 408,760.77