Finding the Third Proportional to 58,019 and 123,364

Step by Step Solution

1. Step 1: Write the proportion equation
   58,019 : 123,364 = 123,364 : x
2. Step 2: Convert to fraction form
   58,019/123,364 = 123,364/x
3. Step 3: Cross multiply
   58,019x = 123,364 × 123,364
4. Step 4: Simplify right side
   58,019x = 15,218,676,496
5. Step 5: Solve for x
   x = 15,218,676,496/58,019
6. Step 6: Final answer
   x = 262,305.05