Finding the Third Proportional to 233,378 and 512,140

Step by Step Solution

1. Step 1: Write the proportion equation
   233,378 : 512,140 = 512,140 : x
2. Step 2: Convert to fraction form
   233,378/512,140 = 512,140/x
3. Step 3: Cross multiply
   233,378x = 512,140 × 512,140
4. Step 4: Simplify right side
   233,378x = 262,287,379,600
5. Step 5: Solve for x
   x = 262,287,379,600/233,378
6. Step 6: Final answer
   x = 1,123,873.63