Finding the Third Proportional to 367,004 and 516,826

Step by Step Solution

1. Step 1: Write the proportion equation
   367,004 : 516,826 = 516,826 : x
2. Step 2: Convert to fraction form
   367,004/516,826 = 516,826/x
3. Step 3: Cross multiply
   367,004x = 516,826 × 516,826
4. Step 4: Simplify right side
   367,004x = 267,109,114,276
5. Step 5: Solve for x
   x = 267,109,114,276/367,004
6. Step 6: Final answer
   x = 727,809.82