Finding the Third Proportional to 312,123 and 483,012

Step by Step Solution

1. Step 1: Write the proportion equation
   312,123 : 483,012 = 483,012 : x
2. Step 2: Convert to fraction form
   312,123/483,012 = 483,012/x
3. Step 3: Cross multiply
   312,123x = 483,012 × 483,012
4. Step 4: Simplify right side
   312,123x = 233,300,592,144
5. Step 5: Solve for x
   x = 233,300,592,144/312,123
6. Step 6: Final answer
   x = 747,463.63