Finding the Third Proportional to 178,648.50 and 371,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,648.50 : 371,998.50 = 371,998.50 : x
2. Step 2: Convert to fraction form
   178,648.50/371,998.50 = 371,998.50/x
3. Step 3: Cross multiply
   178,648.50x = 371,998.50 × 371,998.50
4. Step 4: Simplify right side
   178,648.50x = 138,382,884,002.25
5. Step 5: Solve for x
   x = 138,382,884,002.25/178,648.50
6. Step 6: Final answer
   x = 774,609.83