Finding the Third Proportional to 311,061 and 496,131

Step by Step Solution

1. Step 1: Write the proportion equation
   311,061 : 496,131 = 496,131 : x
2. Step 2: Convert to fraction form
   311,061/496,131 = 496,131/x
3. Step 3: Cross multiply
   311,061x = 496,131 × 496,131
4. Step 4: Simplify right side
   311,061x = 246,145,969,161
5. Step 5: Solve for x
   x = 246,145,969,161/311,061
6. Step 6: Final answer
   x = 791,310.93