Finding the Third Proportional to 386,613 and 584,172

Step by Step Solution

1. Step 1: Write the proportion equation
   386,613 : 584,172 = 584,172 : x
2. Step 2: Convert to fraction form
   386,613/584,172 = 584,172/x
3. Step 3: Cross multiply
   386,613x = 584,172 × 584,172
4. Step 4: Simplify right side
   386,613x = 341,256,925,584
5. Step 5: Solve for x
   x = 341,256,925,584/386,613
6. Step 6: Final answer
   x = 882,683.52