Finding the Third Proportional to 233,434 and 512,254

Step by Step Solution

1. Step 1: Write the proportion equation
   233,434 : 512,254 = 512,254 : x
2. Step 2: Convert to fraction form
   233,434/512,254 = 512,254/x
3. Step 3: Cross multiply
   233,434x = 512,254 × 512,254
4. Step 4: Simplify right side
   233,434x = 262,404,160,516
5. Step 5: Solve for x
   x = 262,404,160,516/233,434
6. Step 6: Final answer
   x = 1,124,104.29