Finding the Third Proportional to 181,308 and 384,226.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,308 : 384,226.50 = 384,226.50 : x
2. Step 2: Convert to fraction form
   181,308/384,226.50 = 384,226.50/x
3. Step 3: Cross multiply
   181,308x = 384,226.50 × 384,226.50
4. Step 4: Simplify right side
   181,308x = 147,630,003,302.25
5. Step 5: Solve for x
   x = 147,630,003,302.25/181,308
6. Step 6: Final answer
   x = 814,249.80