Finding the Third Proportional to 388,194 and 823,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   388,194 : 823,042.50 = 823,042.50 : x
2. Step 2: Convert to fraction form
   388,194/823,042.50 = 823,042.50/x
3. Step 3: Cross multiply
   388,194x = 823,042.50 × 823,042.50
4. Step 4: Simplify right side
   388,194x = 677,398,956,806.25
5. Step 5: Solve for x
   x = 677,398,956,806.25/388,194
6. Step 6: Final answer
   x = 1,745,001.10