Finding the Third Proportional to 312,096 and 471,423.75

Step by Step Solution

1. Step 1: Write the proportion equation
   312,096 : 471,423.75 = 471,423.75 : x
2. Step 2: Convert to fraction form
   312,096/471,423.75 = 471,423.75/x
3. Step 3: Cross multiply
   312,096x = 471,423.75 × 471,423.75
4. Step 4: Simplify right side
   312,096x = 222,240,352,064.06
5. Step 5: Solve for x
   x = 222,240,352,064.06/312,096
6. Step 6: Final answer
   x = 712,089.72