Finding the Third Proportional to 233,280 and 510,894

Step by Step Solution

1. Step 1: Write the proportion equation
   233,280 : 510,894 = 510,894 : x
2. Step 2: Convert to fraction form
   233,280/510,894 = 510,894/x
3. Step 3: Cross multiply
   233,280x = 510,894 × 510,894
4. Step 4: Simplify right side
   233,280x = 261,012,679,236
5. Step 5: Solve for x
   x = 261,012,679,236/233,280
6. Step 6: Final answer
   x = 1,118,881.51