Finding the Third Proportional to 180,562 and 384,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,562 : 384,451.50 = 384,451.50 : x
2. Step 2: Convert to fraction form
   180,562/384,451.50 = 384,451.50/x
3. Step 3: Cross multiply
   180,562x = 384,451.50 × 384,451.50
4. Step 4: Simplify right side
   180,562x = 147,802,955,852.25
5. Step 5: Solve for x
   x = 147,802,955,852.25/180,562
6. Step 6: Final answer
   x = 818,571.77