Finding the Third Proportional to 177,290.25 and 384,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,290.25 : 384,118.50 = 384,118.50 : x
2. Step 2: Convert to fraction form
   177,290.25/384,118.50 = 384,118.50/x
3. Step 3: Cross multiply
   177,290.25x = 384,118.50 × 384,118.50
4. Step 4: Simplify right side
   177,290.25x = 147,547,022,042.25
5. Step 5: Solve for x
   x = 147,547,022,042.25/177,290.25
6. Step 6: Final answer
   x = 832,234.27