Finding the Third Proportional to 231,138 and 345,774

Step by Step Solution

1. Step 1: Write the proportion equation
   231,138 : 345,774 = 345,774 : x
2. Step 2: Convert to fraction form
   231,138/345,774 = 345,774/x
3. Step 3: Cross multiply
   231,138x = 345,774 × 345,774
4. Step 4: Simplify right side
   231,138x = 119,559,659,076
5. Step 5: Solve for x
   x = 119,559,659,076/231,138
6. Step 6: Final answer
   x = 517,265.27