Finding the Third Proportional to 123,420 and 269,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,420 : 269,140.50 = 269,140.50 : x
2. Step 2: Convert to fraction form
   123,420/269,140.50 = 269,140.50/x
3. Step 3: Cross multiply
   123,420x = 269,140.50 × 269,140.50
4. Step 4: Simplify right side
   123,420x = 72,436,608,740.25
5. Step 5: Solve for x
   x = 72,436,608,740.25/123,420
6. Step 6: Final answer
   x = 586,911.43