Finding the Third Proportional to 516,078 and 781,872.75

Step by Step Solution

1. Step 1: Write the proportion equation
   516,078 : 781,872.75 = 781,872.75 : x
2. Step 2: Convert to fraction form
   516,078/781,872.75 = 781,872.75/x
3. Step 3: Cross multiply
   516,078x = 781,872.75 × 781,872.75
4. Step 4: Simplify right side
   516,078x = 611,324,997,192.56
5. Step 5: Solve for x
   x = 611,324,997,192.56/516,078
6. Step 6: Final answer
   x = 1,184,559.31