Finding the Third Proportional to 176,037 and 380,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,037 : 380,131.50 = 380,131.50 : x
2. Step 2: Convert to fraction form
   176,037/380,131.50 = 380,131.50/x
3. Step 3: Cross multiply
   176,037x = 380,131.50 × 380,131.50
4. Step 4: Simplify right side
   176,037x = 144,499,957,292.25
5. Step 5: Solve for x
   x = 144,499,957,292.25/176,037
6. Step 6: Final answer
   x = 820,849.92