Finding the Third Proportional to 57,784 and 123,380

Step by Step Solution

1. Step 1: Write the proportion equation
   57,784 : 123,380 = 123,380 : x
2. Step 2: Convert to fraction form
   57,784/123,380 = 123,380/x
3. Step 3: Cross multiply
   57,784x = 123,380 × 123,380
4. Step 4: Simplify right side
   57,784x = 15,222,624,400
5. Step 5: Solve for x
   x = 15,222,624,400/57,784
6. Step 6: Final answer
   x = 263,440.13