Finding the Third Proportional to 231,012 and 345,578.06

Step by Step Solution

1. Step 1: Write the proportion equation
   231,012 : 345,578.06 = 345,578.06 : x
2. Step 2: Convert to fraction form
   231,012/345,578.06 = 345,578.06/x
3. Step 3: Cross multiply
   231,012x = 345,578.06 × 345,578.06
4. Step 4: Simplify right side
   231,012x = 119,424,197,281.25
5. Step 5: Solve for x
   x = 119,424,197,281.25/231,012
6. Step 6: Final answer
   x = 516,961.01