Finding the Third Proportional to 185,032.69 and 384,609.94

Step by Step Solution

1. Step 1: Write the proportion equation
   185,032.69 : 384,609.94 = 384,609.94 : x
2. Step 2: Convert to fraction form
   185,032.69/384,609.94 = 384,609.94/x
3. Step 3: Cross multiply
   185,032.69x = 384,609.94 × 384,609.94
4. Step 4: Simplify right side
   185,032.69x = 147,924,804,023.75
5. Step 5: Solve for x
   x = 147,924,804,023.75/185,032.69
6. Step 6: Final answer
   x = 799,452.28