Finding the Third Proportional to 57,520 and 123,680

Step by Step Solution

1. Step 1: Write the proportion equation
   57,520 : 123,680 = 123,680 : x
2. Step 2: Convert to fraction form
   57,520/123,680 = 123,680/x
3. Step 3: Cross multiply
   57,520x = 123,680 × 123,680
4. Step 4: Simplify right side
   57,520x = 15,296,742,400
5. Step 5: Solve for x
   x = 15,296,742,400/57,520
6. Step 6: Final answer
   x = 265,937.80