Finding the Third Proportional to 177,810 and 387,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,810 : 387,574.50 = 387,574.50 : x
2. Step 2: Convert to fraction form
   177,810/387,574.50 = 387,574.50/x
3. Step 3: Cross multiply
   177,810x = 387,574.50 × 387,574.50
4. Step 4: Simplify right side
   177,810x = 150,213,993,050.25
5. Step 5: Solve for x
   x = 150,213,993,050.25/177,810
6. Step 6: Final answer
   x = 844,800.59