Finding the Third Proportional to 178,996.50 and 389,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,996.50 : 389,947.50 = 389,947.50 : x
2. Step 2: Convert to fraction form
   178,996.50/389,947.50 = 389,947.50/x
3. Step 3: Cross multiply
   178,996.50x = 389,947.50 × 389,947.50
4. Step 4: Simplify right side
   178,996.50x = 152,059,052,756.25
5. Step 5: Solve for x
   x = 152,059,052,756.25/178,996.50
6. Step 6: Final answer
   x = 849,508.53