Finding the Third Proportional to 500,967 and 976,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,967 : 976,855.50 = 976,855.50 : x
2. Step 2: Convert to fraction form
   500,967/976,855.50 = 976,855.50/x
3. Step 3: Cross multiply
   500,967x = 976,855.50 × 976,855.50
4. Step 4: Simplify right side
   500,967x = 954,246,667,880.25
5. Step 5: Solve for x
   x = 954,246,667,880.25/500,967
6. Step 6: Final answer
   x = 1,904,809.43