Finding the Third Proportional to 57,379.50 and 123,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,379.50 : 123,567.50 = 123,567.50 : x
2. Step 2: Convert to fraction form
   57,379.50/123,567.50 = 123,567.50/x
3. Step 3: Cross multiply
   57,379.50x = 123,567.50 × 123,567.50
4. Step 4: Simplify right side
   57,379.50x = 15,268,927,056.25
5. Step 5: Solve for x
   x = 15,268,927,056.25/57,379.50
6. Step 6: Final answer
   x = 266,104.22