Finding the Third Proportional to 346,986 and 517,590.75

Step by Step Solution

1. Step 1: Write the proportion equation
   346,986 : 517,590.75 = 517,590.75 : x
2. Step 2: Convert to fraction form
   346,986/517,590.75 = 517,590.75/x
3. Step 3: Cross multiply
   346,986x = 517,590.75 × 517,590.75
4. Step 4: Simplify right side
   346,986x = 267,900,184,485.56
5. Step 5: Solve for x
   x = 267,900,184,485.56/346,986
6. Step 6: Final answer
   x = 772,077.79