Finding the Third Proportional to 176,036 and 380,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,036 : 380,132.50 = 380,132.50 : x
2. Step 2: Convert to fraction form
   176,036/380,132.50 = 380,132.50/x
3. Step 3: Cross multiply
   176,036x = 380,132.50 × 380,132.50
4. Step 4: Simplify right side
   176,036x = 144,500,717,556.25
5. Step 5: Solve for x
   x = 144,500,717,556.25/176,036
6. Step 6: Final answer
   x = 820,858.90