Finding the Third Proportional to 57,492 and 123,384

Step by Step Solution

1. Step 1: Write the proportion equation
   57,492 : 123,384 = 123,384 : x
2. Step 2: Convert to fraction form
   57,492/123,384 = 123,384/x
3. Step 3: Cross multiply
   57,492x = 123,384 × 123,384
4. Step 4: Simplify right side
   57,492x = 15,223,611,456
5. Step 5: Solve for x
   x = 15,223,611,456/57,492
6. Step 6: Final answer
   x = 264,795.30