Finding the Third Proportional to 58,536 and 123,270

Step by Step Solution

1. Step 1: Write the proportion equation
   58,536 : 123,270 = 123,270 : x
2. Step 2: Convert to fraction form
   58,536/123,270 = 123,270/x
3. Step 3: Cross multiply
   58,536x = 123,270 × 123,270
4. Step 4: Simplify right side
   58,536x = 15,195,492,900
5. Step 5: Solve for x
   x = 15,195,492,900/58,536
6. Step 6: Final answer
   x = 259,592.27