Finding the Third Proportional to 187,776 and 391,144

Step by Step Solution

1. Step 1: Write the proportion equation
   187,776 : 391,144 = 391,144 : x
2. Step 2: Convert to fraction form
   187,776/391,144 = 391,144/x
3. Step 3: Cross multiply
   187,776x = 391,144 × 391,144
4. Step 4: Simplify right side
   187,776x = 152,993,628,736
5. Step 5: Solve for x
   x = 152,993,628,736/187,776
6. Step 6: Final answer
   x = 814,766.68