Finding the Third Proportional to 176,299.50 and 380,652

Step by Step Solution

1. Step 1: Write the proportion equation
   176,299.50 : 380,652 = 380,652 : x
2. Step 2: Convert to fraction form
   176,299.50/380,652 = 380,652/x
3. Step 3: Cross multiply
   176,299.50x = 380,652 × 380,652
4. Step 4: Simplify right side
   176,299.50x = 144,895,945,104
5. Step 5: Solve for x
   x = 144,895,945,104/176,299.50
6. Step 6: Final answer
   x = 821,873.83