Finding the Third Proportional to 261,364 and 391,002

Step by Step Solution

1. Step 1: Write the proportion equation
   261,364 : 391,002 = 391,002 : x
2. Step 2: Convert to fraction form
   261,364/391,002 = 391,002/x
3. Step 3: Cross multiply
   261,364x = 391,002 × 391,002
4. Step 4: Simplify right side
   261,364x = 152,882,564,004
5. Step 5: Solve for x
   x = 152,882,564,004/261,364
6. Step 6: Final answer
   x = 584,941.17