Finding the Third Proportional to 405,470 and 584,066

Step by Step Solution

1. Step 1: Write the proportion equation
   405,470 : 584,066 = 584,066 : x
2. Step 2: Convert to fraction form
   405,470/584,066 = 584,066/x
3. Step 3: Cross multiply
   405,470x = 584,066 × 584,066
4. Step 4: Simplify right side
   405,470x = 341,133,092,356
5. Step 5: Solve for x
   x = 341,133,092,356/405,470
6. Step 6: Final answer
   x = 841,327.58