Finding the Third Proportional to 231,016.50 and 345,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,016.50 : 345,583.50 = 345,583.50 : x
2. Step 2: Convert to fraction form
   231,016.50/345,583.50 = 345,583.50/x
3. Step 3: Cross multiply
   231,016.50x = 345,583.50 × 345,583.50
4. Step 4: Simplify right side
   231,016.50x = 119,427,955,472.25
5. Step 5: Solve for x
   x = 119,427,955,472.25/231,016.50
6. Step 6: Final answer
   x = 516,967.21