Finding the Third Proportional to 111,704 and 231,184

Step by Step Solution

1. Step 1: Write the proportion equation
   111,704 : 231,184 = 231,184 : x
2. Step 2: Convert to fraction form
   111,704/231,184 = 231,184/x
3. Step 3: Cross multiply
   111,704x = 231,184 × 231,184
4. Step 4: Simplify right side
   111,704x = 53,446,041,856
5. Step 5: Solve for x
   x = 53,446,041,856/111,704
6. Step 6: Final answer
   x = 478,461.31