Finding the Third Proportional to 177,696 and 419,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,696 : 419,476.50 = 419,476.50 : x
2. Step 2: Convert to fraction form
   177,696/419,476.50 = 419,476.50/x
3. Step 3: Cross multiply
   177,696x = 419,476.50 × 419,476.50
4. Step 4: Simplify right side
   177,696x = 175,960,534,052.25
5. Step 5: Solve for x
   x = 175,960,534,052.25/177,696
6. Step 6: Final answer
   x = 990,233.51