Finding the Third Proportional to 405,612 and 584,196

Step by Step Solution

1. Step 1: Write the proportion equation
   405,612 : 584,196 = 584,196 : x
2. Step 2: Convert to fraction form
   405,612/584,196 = 584,196/x
3. Step 3: Cross multiply
   405,612x = 584,196 × 584,196
4. Step 4: Simplify right side
   405,612x = 341,284,966,416
5. Step 5: Solve for x
   x = 341,284,966,416/405,612
6. Step 6: Final answer
   x = 841,407.47