Finding the Third Proportional to 123,160.50 and 266,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,160.50 : 266,563.50 = 266,563.50 : x
2. Step 2: Convert to fraction form
   123,160.50/266,563.50 = 266,563.50/x
3. Step 3: Cross multiply
   123,160.50x = 266,563.50 × 266,563.50
4. Step 4: Simplify right side
   123,160.50x = 71,056,099,532.25
5. Step 5: Solve for x
   x = 71,056,099,532.25/123,160.50
6. Step 6: Final answer
   x = 576,939.03