Finding the Third Proportional to 85,581 and 180,003

Step by Step Solution

1. Step 1: Write the proportion equation
   85,581 : 180,003 = 180,003 : x
2. Step 2: Convert to fraction form
   85,581/180,003 = 180,003/x
3. Step 3: Cross multiply
   85,581x = 180,003 × 180,003
4. Step 4: Simplify right side
   85,581x = 32,401,080,009
5. Step 5: Solve for x
   x = 32,401,080,009/85,581
6. Step 6: Final answer
   x = 378,601.33