Finding the Third Proportional to 58,018 and 123,624

Step by Step Solution

1. Step 1: Write the proportion equation
   58,018 : 123,624 = 123,624 : x
2. Step 2: Convert to fraction form
   58,018/123,624 = 123,624/x
3. Step 3: Cross multiply
   58,018x = 123,624 × 123,624
4. Step 4: Simplify right side
   58,018x = 15,282,893,376
5. Step 5: Solve for x
   x = 15,282,893,376/58,018
6. Step 6: Final answer
   x = 263,416.41