Finding the Third Proportional to 334,731 and 468,184

Step by Step Solution

1. Step 1: Write the proportion equation
   334,731 : 468,184 = 468,184 : x
2. Step 2: Convert to fraction form
   334,731/468,184 = 468,184/x
3. Step 3: Cross multiply
   334,731x = 468,184 × 468,184
4. Step 4: Simplify right side
   334,731x = 219,196,257,856
5. Step 5: Solve for x
   x = 219,196,257,856/334,731
6. Step 6: Final answer
   x = 654,843.02