Finding the Third Proportional to 516,942 and 772,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   516,942 : 772,314.75 = 772,314.75 : x
2. Step 2: Convert to fraction form
   516,942/772,314.75 = 772,314.75/x
3. Step 3: Cross multiply
   516,942x = 772,314.75 × 772,314.75
4. Step 4: Simplify right side
   516,942x = 596,470,073,067.56
5. Step 5: Solve for x
   x = 596,470,073,067.56/516,942
6. Step 6: Final answer
   x = 1,153,843.32