Finding the Third Proportional to 123,954.50 and 268,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,954.50 : 268,516.50 = 268,516.50 : x
2. Step 2: Convert to fraction form
   123,954.50/268,516.50 = 268,516.50/x
3. Step 3: Cross multiply
   123,954.50x = 268,516.50 × 268,516.50
4. Step 4: Simplify right side
   123,954.50x = 72,101,110,772.25
5. Step 5: Solve for x
   x = 72,101,110,772.25/123,954.50
6. Step 6: Final answer
   x = 581,674.01