Finding the Third Proportional to 57,374 and 123,536

Step by Step Solution

1. Step 1: Write the proportion equation
   57,374 : 123,536 = 123,536 : x
2. Step 2: Convert to fraction form
   57,374/123,536 = 123,536/x
3. Step 3: Cross multiply
   57,374x = 123,536 × 123,536
4. Step 4: Simplify right side
   57,374x = 15,261,143,296
5. Step 5: Solve for x
   x = 15,261,143,296/57,374
6. Step 6: Final answer
   x = 265,994.06