Finding the Third Proportional to 57,582 and 123,909.75

Step by Step Solution

1. Step 1: Write the proportion equation
   57,582 : 123,909.75 = 123,909.75 : x
2. Step 2: Convert to fraction form
   57,582/123,909.75 = 123,909.75/x
3. Step 3: Cross multiply
   57,582x = 123,909.75 × 123,909.75
4. Step 4: Simplify right side
   57,582x = 15,353,626,145.06
5. Step 5: Solve for x
   x = 15,353,626,145.06/57,582
6. Step 6: Final answer
   x = 266,639.33