Finding the Third Proportional to 368,178 and 806,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,178 : 806,623.50 = 806,623.50 : x
2. Step 2: Convert to fraction form
   368,178/806,623.50 = 806,623.50/x
3. Step 3: Cross multiply
   368,178x = 806,623.50 × 806,623.50
4. Step 4: Simplify right side
   368,178x = 650,641,470,752.25
5. Step 5: Solve for x
   x = 650,641,470,752.25/368,178
6. Step 6: Final answer
   x = 1,767,192.69