Finding the Third Proportional to 177,291 and 384,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,291 : 384,119.50 = 384,119.50 : x
2. Step 2: Convert to fraction form
   177,291/384,119.50 = 384,119.50/x
3. Step 3: Cross multiply
   177,291x = 384,119.50 × 384,119.50
4. Step 4: Simplify right side
   177,291x = 147,547,790,280.25
5. Step 5: Solve for x
   x = 147,547,790,280.25/177,291
6. Step 6: Final answer
   x = 832,235.08