Finding the Third Proportional to 476,277 and 646,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   476,277 : 646,837.50 = 646,837.50 : x
2. Step 2: Convert to fraction form
   476,277/646,837.50 = 646,837.50/x
3. Step 3: Cross multiply
   476,277x = 646,837.50 × 646,837.50
4. Step 4: Simplify right side
   476,277x = 418,398,751,406.25
5. Step 5: Solve for x
   x = 418,398,751,406.25/476,277
6. Step 6: Final answer
   x = 878,477.76