Finding the Third Proportional to 233,076 and 509,892

Step by Step Solution

1. Step 1: Write the proportion equation
   233,076 : 509,892 = 509,892 : x
2. Step 2: Convert to fraction form
   233,076/509,892 = 509,892/x
3. Step 3: Cross multiply
   233,076x = 509,892 × 509,892
4. Step 4: Simplify right side
   233,076x = 259,989,851,664
5. Step 5: Solve for x
   x = 259,989,851,664/233,076
6. Step 6: Final answer
   x = 1,115,472.43