Finding the Third Proportional to 176,034 and 380,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,034 : 380,128.50 = 380,128.50 : x
2. Step 2: Convert to fraction form
   176,034/380,128.50 = 380,128.50/x
3. Step 3: Cross multiply
   176,034x = 380,128.50 × 380,128.50
4. Step 4: Simplify right side
   176,034x = 144,497,676,512.25
5. Step 5: Solve for x
   x = 144,497,676,512.25/176,034
6. Step 6: Final answer
   x = 820,850.95