Finding the Third Proportional to 233,878 and 514,412

Step by Step Solution

1. Step 1: Write the proportion equation
   233,878 : 514,412 = 514,412 : x
2. Step 2: Convert to fraction form
   233,878/514,412 = 514,412/x
3. Step 3: Cross multiply
   233,878x = 514,412 × 514,412
4. Step 4: Simplify right side
   233,878x = 264,619,705,744
5. Step 5: Solve for x
   x = 264,619,705,744/233,878
6. Step 6: Final answer
   x = 1,131,443.34